研究者詳細 - 伊藤　博

論文 - 伊藤　博

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Asymmetrically Scaled Sectorial Supply Rates and Asymmetric Gain Supply Rates for Semi-Infinite State Spaces with Interior Targets 査読有り国際誌

Hiroshi Ito

SICE Journal of Control, Measurement, and System Integration ( SICE ) 18 ( 1 ) 2545006 2025年08月

Input-to-state stabilization of endemic models for uncertainty of transmission, inflows, and immunity waning 査読有り国際誌

Hiroshi Ito

Automatica 174 ( 4 ) 112167 13 pages 2025年02月

Robust Positivizing and Stabilizing Controllers for Prescribed Positive Equilibria 査読有り国際誌

Ito H.

2025 SICE International Symposium on Control Systems SICE Iscs 2025 7 - 12 2025年01月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Parameters and set pints of external variables in differential equations influence not only equilibria and their stability, but also system positivity. It sharply contrasts with the artificial but standard control formulation in which zero of the state is always an equilibrium, and we concentrate on the stability of the zero equilibrium. This paper deals with non-zero equilibria of nonlinear dynamics variables whose realizable domains are positive, such as mass, concentration, population, and logistic quantities. Once a desired positive point is picked in the state space, we first need to determine set points of input variables to render the point an equilibrium, Then, we design a feedback control to ensure the state variables their positivity and convergence to the equilibrium. Moreover, we want to have the control mechanism equipped with robustness for uncertainties and disturbances. This paper proposes a novel approach to this problem by using positivizing Lyapunov functions formulated with asymmetric supply rates.

DOI： 10.23919/SICEISCS65372.2025.10947657

Kyutacar

Scopus

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Non-gain asymmetry for dissipativity framework for positive systems exhibiting interior equilibria 査読有り国際誌

Ito H.

IFAC Papersonline 58 ( 21 ) 173 - 178 2024年09月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper aims to formulate a new approach to dissipative modeling of nonlinear positive systems with interior equilibria. Processing positivity separately from stability becomes unnecessary. For asymmetric state spaces on which systems evolve, this paper proposes a supply rate of non-gain-type asymmetry and develops formulas of their aggregation, which is not as trivial as aggregating L 2 gain and passivity supply rates. The novelty of their proofs is that the involved treatment of asymmetric functions is reduced to the evaluation of directed graphs carrying balance information between variables. The dissipativity on asymmetric spaces and the aggregation formulas qualify a single logarithmic storage function to establish stability and positivity simultaneously for an interconnected system. The usefulness is illustrated by examples.

DOI： 10.1016/j.ifacol.2024.10.172

Kyutacar

Scopus

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Some implications of positivity with interior equilibria via asymmetrically scaled sectorial supply rates 査読有り国際誌

Hiroshi Ito

2024 63rd Annual Conference of the Society of Instrument and Control Engineers, SICE 2024 1229 - 1234 2024年08月

Scalar modules with logarithmic Lyapunov functions for robust positive systems exhibiting interior equilibria 査読有り国際誌

Hiroshi Ito

10th SICE International Symposium on Control Systems ( Society of Instrument and Control Engineers ) SY0002/24/0000-0787 2024年03月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Japan Higashi-Hiroshima 2024年03月17日 - 2024年03月20日

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A Dissipativity Framework for Input-to-State Stability with Positivity of Dynamical Systems with Interior Equilibria 査読有り国際誌

Ito H.

Proceedings of the American Control Conference 1127 - 1132 2024年01月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper proposes a module-based framework for analyzing and designing dynamical systems evolving on positive orthants and having stationary points in their interior. Dissipativity theory is a widely-used concept that allows one to assess a property of a system by aggregating dissipativity of its components. Popular storage functions and supply rates do apply to positive systems, but do not give information about the positivity. This paper employs non-vector space storage functions encompassing logarithmic functions to formulate input-to-state stability (ISS) with positivity guarantee, and shows how its dissipativity characterization can effectively address system interconnections. The developed supply rates and criteria are not only asymmetric to fit non-vector state spaces, but also carry equilibrium information which is inherent in positive systems exhibiting interior equilibria. Mathematical and practical examples illustrate that the proposed framework offers flexibility in applying to various system interconnections.

DOI： 10.23919/ACC60939.2024.10644378

Kyutacar

Scopus

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ベルト駆動型多関節ロボットの軌道逸脱を低減する目標軌道のウエハ産業用設計事例査読有り

藤村統太, 福井善朗, 伊藤博

システム制御情報学会論文誌 ( 一般社団法人システム制御情報学会 ) 36 ( 11 ) 392 - 399 2023年11月

記述言語：日本語掲載種別：研究論文（学術雑誌）

This paper deals with high-speed and high-precision transfer control of silicon wafers by a belt-driven robot. We propose a target trajectory design while we only can change the trajectory due to the industry’s strict development limitations. The proposed trajectory design has a piecewise linear type velocity profile. Gradients of each segment in the piecewise profile, that is acceleration, are designed with a consideration of two factors: The effects of belt elasticity and kinematics between the amount of belt elongation and the amount of tracking error. To reduce the amount of tracking error effectively, we also propose a design indicator which combines the two factors for designing the profile. An experiment with the belt-driven type wafer transfer robot UTM-R3700F, currently in use in industry, illustrates that the proposed trajectory design with the proposed indicator reduces tracking error compared to the conventional trajectory design.

DOI： 10.5687/iscie.36.392

Kyutacar

CiNii Research

その他リンク： https://www.jstage.jst.go.jp/article/iscie/36/11/36_392/_pdf

Asymmetric and fitted dissipativity with logarithmic storages for positive systems exhibiting interior equilibria 査読有り国際誌

Hiroshi Ito

Proceedings of The 22nd IFAC World Congress ( Proceedings of The 22nd IFAC World Congress ) 2023-July 5532 - 5537 2023年07月

Asymmetric and Fitted Dissipativity with Logarithmic Storages for Positive Systems Exhibiting Interior Equilibria 査読有り国際誌

Ito H.

IFAC Papersonline 56 ( 2 ) 5047 - 5052 2023年07月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（学術雑誌）

This paper aims to develop a dissipativity-based framework for analysis of interconnection of scalar systems defined for positive variables exhibiting interior equilibria. To analyze asymptotic stability of an interconnected system, dissipativity approaches aggregate supply rates of component systems. Changes of parameters in component systems having interior equilibria can violate not only the stability, but also the positivity of variables. This paper peruses supply rates whose combination leads to a criterion with which the stability and the positivity can be verified simultaneously. Supply rates suitable for logarithmic storage functions are investigated. Stability analysis leads us to a wrong conclusion if the positivity is forgotten. Based on those observed essentials, this paper proposes several asymmetric supply rates carrying the positivity information. Their usefulness is demonstrated through global and semi-global analysis of feedback interconnections, cyclic networks and a model of infectious diseases.

DOI： 10.1016/j.ifacol.2023.10.1284

Scopus

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Asymmetric dissipativity and supply rates for compartmental systems with logarithmic storage functions 査読有り国際誌

Hiroshi Ito

Proceedings of the American Control Conference 2023 ( IEEE ) 2023-June 3018 - 3023 2023年05月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA San Diego

Many compartmental models in biology, chemistry, ecology, sociology, and related sciences have positive variables, for which equilibrium points of interest are in the interior of the positive orthant. Reactions are often modeled as a bilinearity, which renders a boundary of the positive orthant a separatrix. In such situations, the capability of Lyapunov functions defined on symmetric domains is very limited, and logarithmic functions are sometimes used in mathematical biology. The domain of a logarithm function is a ray, which is asymmetric with respect to the equilibrium of interest. This paper aims to add a useful tool to dissipativity theory for analyzing networks via storage functions defined on asymmetric spaces. This paper focuses on an asymmetric supply rate and discusses its properties and utilities which standard symmetric supply rates do not offer. The power of the asymmetric supply rate is illustrated briefly by establishing asymptotic stability of the endemic equilibrium of the SIQRS model of infectious diseases in an arbitrarily large domain.

DOI： 10.23919/ACC55779.2023.10156181

Scopus

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Nonlinear PI control for semi-global asymptotic stabilization and robustness of SIQR model with inflow perturbationsulation, and vaccination in staircase form 査読有り国際誌

Hiroshi Ito

The 12th IFAC Symposium on Nonlinear Control Systems ( IFAC ) 276 - 281 2023年01月

ISS with respect to unrestricted population perturbations in semi-global control of SIQR 査読有り国際誌

Ito H.

2023 62nd Annual Conference of the Society of Instrument and Control Engineers, SICE 2023 1319 - 1324 2023年01月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper addresses control design for mitigating the spread of infectious diseases among humans using vaccination, isolation, and contact regulation. This paper focuses on the robustness for disturbances perturbing all population classes in their full range and pursues effective feedback control using the number of recovered individuals. The proposed design is based on nonlinear control theory in which we use a Lyapunov function solely to achieve input-to-state stability semi-globally in the state space and globally in the disturbance spaces. To this end, the total population in the Lyapunov functions constructed by preceding studies is replaced by the recovered population. This paper illustrates how useful an entirely logarithmic Lyapunov function is to address all disturbances without restricting their magnitude.

DOI： 10.23919/SICE59929.2023.10354168

Kyutacar

Scopus

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Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination 査読有り国際誌

Hiroshi Ito, Michael Malisoff, Frédéric Mazenc

Discrete and Continuous Dynamical Systems - Series B ( American Institute of Mathematical Sciences ) 27 ( 12 ) 6969 - 6988 2022年12月

A Global and Semi-Global Controller for SIQR Epidemic Model by A Control Lyapunov Function via Logarithmic Sum 査読有り国際誌

Ito H.

Proceedings of the IEEE Conference on Decision and Control 2022-December 6419 - 6424 2022年12月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper proposes a feedback controller of isolation, contact regulation, and vaccination that can be simultaneously applied to mitigate the spread of infectious diseases among humans. A particular function that sums up logarithmic functions of all state variables is proved to be a control Lyapunov function and guarantee input-to-state stability of the controlled system with respect to perturbation of susceptible inflows on an arbitrarily large domain of the state variables. The single simultaneous controller is shown to be effective in all two situations which are separated by a bifurcation point.

DOI： 10.1109/CDC51059.2022.9993153

Scopus

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Feedback control of isolation and contact for SIQR epidemic model via strict Lyapunov function 査読有り国際誌

Hiroshi Ito, Michael Malisoff, Frédéric Mazenc

Mathematical Control and Related Fields ( American Institute of Mathematical Sciences ) 13 ( 4 ) 1438 - 1465 2022年09月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

We derive feedback control laws for isolation, contact regulation, and vaccination for infectious diseases, using a strict Lyapunov function. We use an SIQR epidemic model describing transmission, isolation via quarantine, and vaccination for diseases to which immunity is long-lasting. Assuming that mass vaccination is not available to completely eliminate the disease in a time horizon of interest, we provide feedback control laws that drive the disease to an endemic equilibrium. We prove the input-to-state stability (or ISS) robustness property on the entire state space, when the immigration perturbation is viewed as the uncertainty. We use an ISS Lyapunov function to derive the feedback control laws. A key ingredient in our analysis is that all compartment variables are present not only in the Lyapunov function, but also in a negative definite upper bound on its time derivative. We illustrate the efficacy of our method through simulations, and we discuss the usefulness of parameters in the controls. Since the control laws are feedback, their values are updated based on data acquired in real time. We also discuss the degradation caused by the delayed data acquisition occurring in practical implementations, and we derive bounds on the delays under which the ISS property is ensured when delays are present.

DOI： 10.3934/mcrf.2022043

Scopus

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Semi-global input-to-state stabilization of SIQR model with isolation, outing regulation, and vaccination in staircase form 査読有り国際誌

Ito H.

IFAC-PapersOnLine for The 25th International Symposium on Mathematical Theory of Networks and Systems 55 ( 30 ) 115 - 120 2022年09月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Germany Bayreuth 2022年09月 - 2022年09月

This paper proposes staircase-like feedback laws for control of human infectious diseases based on the SIQR model in the situation where vaccine administration alone cannot be sufficient. The control inputs consisting of isolation, contact regulation, and vaccination are designed to achieve input-to-state stability (ISS) with respect to uncertainty that includes perturbation of immigrants and newborns. The designed controller is semi-global so that the ISS guarantee can be obtained on an arbitrary large compact set in the state space. To accomplish the practical control implementation, this paper qualifies a simple separable function as a control Lyapunov function.

DOI： 10.1016/j.ifacol.2022.11.038

Scopus

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Dynamic feedback control of SIQR model guaranteeing semi-global asymptotic stability and robustness for inflow perturbations 査読有り国際誌

Ito H.

2022 61st Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2022 327 - 332 2022年09月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper proposes a dynamic feedback controller for vaccination, isolation, and contact regulation to mitigate the spread of human infectious diseases. Using the SIQR model, control laws are designed to achieve not only internal stability on an arbitrarily large domain in the state space, but also input-to-state stability for immigrants and newborns perturbations. This paper demonstrates that the properties can be guaranteed under the delay and memory effects of information integration arising from the dynamic human decision even in the presence of range limitations of vaccination, isolation, and contact regulation.

DOI： 10.23919/SICE56594.2022.9905862

Scopus

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An ISS Lyapunov function estimating admissible inflow perturbations for semi-global control of SIQR model 査読有り国際誌

Hiroshi Ito

2022 61st Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2022 321 - 326 2022年09月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Recently feedback laws of vaccination, isolation, and contact regulation for the control of human infectious diseases were proposed in the framework of control Lyapunov functions. This paper proves their robustness with respect to the inflow rate perturbation of immigrants and newborns by constructing an input-to-state stable (ISS) Lyapunov function on an arbitrarily large domain. In contrast to the aforementioned preceding results, the ISS Lyapunov function is constructed without invoking qualitative analysis resorting to the existence of a sufficiently small magnitude of the admissible inflow perturbations. This paper illustrates how we can compute a signed nonlinear gain function to evaluate the robustness of the controlled SIQR epidemic model.

DOI： 10.23919/SICE56594.2022.9905785

Scopus

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Isolation-oriented Lyapunov-based design of simultaneous feedback strategies for disease control of SIQR 査読有り国際誌

Hiroshi Ito

International Journal of Robust and Nonlinear Control ( IFAC ) 32 ( 16 ) 8767 - 8785 2022年07月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

This article pursues a new approach to the design of feedback control laws mitigating the spread of human infectious diseases. The control inputs of vaccination, isolation, and outing/gathering regulation are derived as the gradient of a positive definite function of all the population variables of the SIQR model. Lyapunov functions in which susceptible and infected populations are decoupled are known to be non-self-sufficient for proving stability of the SIQR model as well as other variants of the SIR model. This fact has been hampering Lyapunov-based control design of infectious disease models. This article demonstrates that a popular decoupled function can still serve as a control Lyapunov function as long as isolation is made state-dependent. Techniques realizing this novel idea are presented and shown to allow the Lyapunov function to establish a robustness guarantee in terms of input-to-state stability with respect to immigration and newborn perturbation on an arbitrarily large domain. The effectiveness of the proposed simultaneous controller is illustrated through numerical simulations performed with a parameter set of COVID-19.

DOI： 10.1002/rnc.6309

Scopus

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A toolkit for globally robust observer-based feedback with relaxed characterization of iISS/ISS 査読有り国際誌

Hiroshi Ito, Hyungbo Shim

IEEE Trans. Automatic Control ( IEEE ) 68 ( 7 ) 3858 - 3871 2022年07月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

This paper elaborates on flexibility in dealing with the interconnection of integral input-to-state stable (iISS) and input-to-state stable (ISS) systems. The undecoupled characterizations introduced separately for iISS and ISS in the literature are linked to build a framework enabling global analysis without settling for local and semi-global properties. Feedback control design in the presence of measurement noise can benefit from the framework immediately if plants are nonlinear, irrespective of application areas. This paper proposes a toolkit for providing robustness guarantees in observer-based output feedback control subject to measurement noise. For a nonlinear plant, the couplings among the plant state, the estimation error, and the measurement noise arising in the closed-loop equations often hinder global analysis such as ISS with respect to the measurement noise. In the formalism of iISS, this paper demonstrates that the flexibility in dealing with the couplings allows one to establish the robustness globally. Moreover, it gives a condition under which the closed-loop system can possess ISS and strong iISS which are stronger than iISS.

DOI： 10.1109/TAC.2022.3193270

Scopus

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Strict smooth Lyapunov functions and vaccination control of SIR model certified by ISS 査読有り国際誌

Ito H.

IEEE Transactions on Automatic Control ( IEEE ) 2022年03月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

This paper addresses analysis and control of the SIR model of infectious diseases in the framework of input-to-state stability (ISS) with respect to the net flow of susceptible individuals into a region in both disease-free and epidemic situations. The key development is the construction of a continuously differentiable strict Lyapunov function. Firstly, this paper clarifies that a continuously differentiable Lyapunov function whose derivative is non-positive can deduce asymptotic stability on the whole state space. Secondly, it is demonstrated that a new idea of rendering the derivative strictly negative allows one to detect a margin proving ISS of the SIR model. The accomplishment is based on the pursuit of a Lyapunov function that is not entirely separable into components. It contrasts with previously studied and popular Lyapunov functions that are proven to be incapable of assessing robustness properties such as ISS. Thirdly, two types of feedback control laws are proposed for mass vaccination of immigrants and inhabitants by making use of the strict Lyapunov functions. One type modifies the other type by focusing on the reduction of peaks of the infected population within the ISS guarantees.

DOI： 10.1109/TAC.2022.3161395

Scopus

その他リンク： https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85127078863&origin=inward

Special issue on SICE Annual Conference 2021 招待有り査読有り国際誌

Masuda S., Ito H.

SICE Journal of Control, Measurement, and System Integration 15 ( 1 ) 2022年01月

対数型リアプノフ関数を使った非対称な状態空間上のダイナミクスのモジュール化について

伊藤博

自動制御連合講演会講演論文集 ( 自動制御連合講演会 ) 65 ( 0 ) 1523 - 1528 2022年01月

Vaccination with Input-to-State Stability for SIR Model of Epidemics 査読有り

Hiroshi Ito

Proceedings of the IEEE Conference on Decision and Control 2021-December 2812 - 2817 2021年12月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

2021年12月13日 - 2021年12月17日

Vaccination control for SIR models of epidemics is studied in the framework of input-to-state stability. Two types of feedback controllers are proposed for mass vaccination of immigrants and inhabitants. In addition to asymptotic stability which is global in the state space, this paper demonstrates guarantees of input-to-state stability with respect to variation of flow rate of immigrants and newborns. One type of the proposed control laws uses ISS Lyapunov functions. The other modifies the control laws by focusing the reduction of peaks of infected population within the ISS guarantees.

DOI： 10.1109/CDC45484.2021.9683439

Scopus

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A construction of strict Lyapunov functions for a bilinear balancing model 査読有り国際誌

Hiroshi Ito

IFAC-PapersOnLine for The 3rd IFAC Conf. Modelling, Identification and Control of Nonlinear Systems ( IFAC ) 54 ( 14 ) 161 - 166 2021年10月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Japan 2022年09月15日 - 2022年09月17日

This paper focuses on a two-dimensional compartmental model which is linear except for bilinear terms of balancing kinetics. It is an equation of Lotka-Volterra type, but its structure is not symmetric like the predator-prey equation. This paper elucidates fundamental challenges in non-local stability analysis of the model. In particular, obstacles in constructing strict Lyapunov functions are discussed. A method consisting of tilting and semi-global construction is presented to overcome the challenges. Its benefit is highlighted from the viewpoint of input-to-state stability with respect to inflow perturbation.

DOI： 10.1016/j.ifacol.2021.10.346

Scopus

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Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases 査読有り国際誌

Ito H.

Discrete and Continuous Dynamical Systems - Series B ( American Institute of Mathematical Sciences ) 26 ( 9 ) 5171 - 5196 2021年09月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

This paper demonstrates input-to-state stability (ISS) of the SIR model of infectious diseases with respect to the disease-free equilibrium and the endemic equilibrium. Lyapunov functions are constructed to verify that both equilibria are individually robust with respect to perturbation of newborn/ immigration rate which determines the eventual state of populations in epidemics. The construction and analysis are geometric and global in the space of the populations. In addition to the establishment of ISS, this paper shows how explicitly the constructed level sets reect the ow of trajectories. Essential obstacles and keys for the construction of Lyapunov functions are elucidated. The proposed Lyapunov functions which have strictly negative derivative allow us to not only establish ISS, but also get rid of the use of LaSalle's invariance principle and popular simplifying assumptions.

DOI： 10.3934/dcdsb.2020338

Scopus

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Preface for Special issue on SICE Annual Conference 2020 招待有り査読有り国際誌

Noboru Sakamoto, Shigemasa Takai, Hiroshi Ito

SICE Journal of Control, Measurement, and System Integration ( SICE ) 14 ( 2 ) 1 - 1 2021年06月

A Strict Smooth Lyapunov Function and Input-to-State Stability of SIR Model 査読有り

Hiroshi Ito

Proceedings of the American Control Conference ( IEEE ) 2021-May 4811 - 4816 2021年05月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

アメリカ 2021年05月25日 - 2021年05月28日

This paper shows that the SIR model of infectious diseases is input-to-state stable (ISS) with respect to the net flow of susceptible individuals into the region in both disease-free and epidemic situations. The key development is the construction of a continuously differentiable strict Lyapunov function. Firstly, for asymptotic stability, this paper clarifies that a continuously differentiable Lyapunov function can deduce the stability on the whole state space even if its derivative is not strictly negative. Secondly, it is demonstrated that a new idea of modifying the Lyapunov function to render its derivative strictly negative allows one to detect an appropriate margin to prove ISS of the SIR model. The accomplishment is based on the pursuit of a Lyapunov function which is not entirely separable into components. It contrasts with previously studied and popular Lyapunov functions which are incapable of assessing robustness properties such as ISS.

DOI： 10.23919/ACC50511.2021.9482900

Scopus

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Signed Small-Gain Criteria Amenable to Asymmetry with Respect to Equilibria in Establishing iISS of Networks 査読有り

Ito H.

Proceedings of the IEEE Conference on Decision and Control 2020-December 6278 - 6284 2020年12月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper proposes a framework of signed small-gain criteria which are automatically amenable to asymmetry of gain-type dissipation with respect to equilibria. In theory and practice, the asymmetry has been avoided via over-bounding by symmetrization, which often results in unreasonably demanding or negative answers in stability, stabilization, robustness and robustification of dynamical systems. Natural systems are composed in accordance with the principle of conservation, and employ mechanisms which are more versatile than linearity. Exact energy balance is exhibited through nonlinear mechanisms, but it is not symmetric with respect to equilibria, due to the nonlinearity. Stability and robustness embedded in such energy balance cannot be detected after symmetrization. The signed small-gain methodology proposed in this paper provides powerful tools that absorb the asymmetry automatically in establishing integral input-to-stability of dynamical networks.

DOI： 10.1109/CDC42340.2020.9304236

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Strong Integral Input-to-State Stability of Nonlinear Networks through Balancing Kinetics 招待有り査読有り

Ito H.

Proceedings of the IEEE Conference on Decision and Control 2020-December 482 - 487 2020年12月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper proposes a methodology for establishing stability of nonlinear dynamical networks through balancing mechanisms that appear in system models explicitly. In addition to global asymptotic stability of equilibria, the notion of strong integral input-to-state stability (Strong iISS) is employed to address robustness of the networks with respect to disturbances and noises in the presence of saturation nonlinearities forming balancing relations. Conservation is covered as the exact balance. Unlike network small-gain criteria known in the literature of iISS, the developed criteria do not lump the balancing relations. The formulation covers positive networks and networks of iISS systems.

DOI： 10.1109/CDC42340.2020.9304155

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Interpreting models of infectious diseases in terms of integral input-to-state stability 査読有り

Ito H.

Mathematics of Control, Signals, and Systems 32 ( 4 ) 611 - 631 2020年12月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（学術雑誌）

© 2020, The Author(s), under exclusive licence to Springer-Verlag London Ltd. part of Springer Nature. This paper aims to develop a system-theoretic approach to ordinary differential equations which deterministically describe dynamics of prevalence of epidemics. The equations are treated as interconnections in which component systems are connected by signals. The notions of integral input-to-state stability (iISS) and input-to-state stability (ISS) have been effective in addressing nonlinearities globally without domain restrictions in analysis and design of control systems. They provide useful tools of module-based methods integrating characteristics of component systems. This paper expresses fundamental properties of models of infectious diseases and vaccination through the language of iISS and ISS of components and whole systems. The systematic treatment is expected to facilitate development of effective schemes of controlling the disease spread via non-conventional Lyapunov functions.

DOI： 10.1007/s00498-020-00272-w

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Max- and Sum-Separable Lyapunov Functions for Monotone Networks with Balancing Kinetics 査読有り

Ito H.

2020 59th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2020 742 - 747 2020年09月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2020 The Society of Instrument and Control Engineers - SICE. This paper investigates max- and sum-separable Lyapunov functions for monotone networks exhibiting balancing kinematics. Input-to-state stability is sought for internal stability and disturbance attenuation generalizing operator-norms nonlinearly. For linear networks it is known that max- and sum-separable Lyapunov functions can be expressed analytically with right- and left-eigenvectors. This paper discusses extensions of the formulas to nonlinear networks. The main target is non-identical balancing kinematics for which analytical solutions have not been available. It is shown that max- and sum-separable construction is no more given by eigenvectors, but it still accepts closed-form expressions.

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Feedback control on immigration to reduce spread of infectious diseases with an ISS guarantee 査読有り

Ito H.

2020 59th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2020 736 - 741 2020年09月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2020 The Society of Instrument and Control Engineers - SICE. The capability of non-medical strategies to reduce spread of infectious diseases is limited, but evidently quarantining and isolation methods have been effective to slow the transmission. This paper studies regulations on immigration which manipulates the number of individuals entering the area. The immigration including newborns cannot be zero to maintain human societies or ecological systems, but a decision can be made to slow or delay the entering individuals when it is effective to reduce the spread peaks. This paper proposes a feedback control strategy with theoretical guarantees of non-local convergence to the steady state which the society targets. It is proved that small errors in the manipulation of immigration cause only small deviations and they never result in tragedies in terms of input-to-state stability.

Scopus

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Feedback balancing between vaccination and quarantine for disease control: a simulation for COVID-19 in Japan 査読有り

Hajime Nakata, Hiroshi Ito.

60th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2020 ( SICE ) 1252 - 1257 2020年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Japan 2020年09月08日 - 2020年09月10日

Smaller and negative exponents in Lyapunov functions for interconnected iISS systems 査読有り国際誌

Hiroshi Ito

The 21st IFAC World Congress 1 6365 - 6370 2020年07月

Asymptotic and tracking guarantees in interval observer design for systems with unmeasured polytopic nonlinearitiess 査読有り国際誌

Hiroshi Ito, Thach Ngoc Dinh

The 21st IFAC World Congress 1 5084 - 5089 2020年07月

A complete characterization of integral input-to-state stability and its small-gain theorem for stochastic systems 査読有り国際誌

Hiroshi Ito

IEEE Transactions on Automatic Control 65 ( 7 ) 3039 - 3052 14 pages 2020年07月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（学術雑誌）

For stochastic systems, this article develops a Lyapunov-type characterization of integral input-to-state stability (iISS), which is truly parallel to the deterministic one. In contrast to preceding results, this article allows stochastic noise to be active globally in the state space. Deriving pathwise bounds of stochastic processes is the original key idea and it leads to new techniques to unify Lyapunov-type characterization of iISS with that of input-to-state stability (ISS). The ISS test becomes a special case of the iISS test completely, which forms a stochastic counterpart of the popular iISS/ISS framework for deterministic nonlinear systems analysis and design. The usefulness of the developed iISS/ISS characterizations is substantiated by utilizing them to consolidate stochastic versions of small-gain criteria to establish stability of interconnected systems without restricting noise effects to bounded domains. The framework of integral noise-to-state stability is also made useful by allowing the global stochastic noise.

DOI： 10.1109/TAC.2019.2946203

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Preface for Special issue on SICE Annual Conference 2019 招待有り査読有り国際誌

Tanaka Hideyuki, Hiroshi Ito

SICE Journal of Control, Measurement, and System Integration ( SICE ) 13 ( 3 ) 49 - 49 2020年05月

Technical committee on nonlinear systems and control 招待有り査読有り国際誌

Ito H.

IEEE Control Systems 40 ( 2 ) 15 - 18 2020年04月

Interval observer of minimal error dynamics 査読有り

Ito H.

Automatica 113 2020年03月

担当区分：責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

© 2019 Elsevier Ltd This paper proposes a simple interval observer which can generate tighter interval estimates of variables in transient states than the standard interval observer. The simple nonlinear dynamics shrinks the estimated intervals to true state variables at the maximum velocity in the absence of disturbances. In the presence of bounded disturbances, ultimate bounds of the interval estimates are given under the standard assumption for interval observer design.

DOI： 10.1016/j.automatica.2019.108794

Scopus

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Asymptotic and tracking guarantees in interval observer design for systems with unmeasured polytopic nonlinearities 招待有り査読有り

Ito H., Dinh T.N.

IFAC-PapersOnLine 53 ( 2 ) 5010 - 5015 2020年01月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

For a class of nonlinear systems subject to disturbances, an observer is proposed to estimate time-varying intervals in which their state variables are guaranteed to stay all the time. The objective is to effectively deal with nonlinearities depending on unmeasured variables which have been usually treated as uncertainty in observer design. Focusing on nonlinearities in a polytopic form, this paper shows how an interval observer can replace nonlinearities in unmeasured variables by nonlinearities in estimated intervals. Theoretical guarantees and simulation comparisons are presented to demonstrate that the use of interval-dependent nonlinearities gives better estimates than the use of an overbounding observer.

DOI： 10.1016/j.ifacol.2020.12.1099

Scopus

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Smaller and negative exponents in Lyapunov functions for interconnected iISS systems 査読有り

Ito H.

IFAC-PapersOnLine 53 6287 - 6292 2020年01月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

For integral input-to-state stable (iISS) systems, stability of their interconnections can be established through a small-gain condition. Unlike input-to-state stable (ISS) systems, iISS systems admit gain functions only in limited ranges. Thus, composing a Lyapunov function which is valid globally is instrumental for addressing iISS. A Lyapunov function which is popular in the iISS framework proves the stability of interconnected systems whenever the small-gain condition is satisfied. However, it is hardly practical since its nonlinearities are often artificial and involve astonishingly large exponents. This paper drastically reduces the exponents analytically and numerically. This paper also extends the exponents to negative numbers, and demonstrates that two-sided exponents allow one to avoid unnecessary complicated Lyapunov functions.

DOI： 10.1016/j.ifacol.2020.12.1747

Scopus

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SIR感染モデルに基づく流入個体数規制の不確かさに対するISS保証の一解析

伊藤博

自動制御連合講演会講演論文集 ( 自動制御連合講演会 ) 63 ( 0 ) 389 - 392 2020年01月

A fusion of max- and sum-separable Lyapunov functions capable of addressing iISS in networks 招待有り査読有り国際誌

Hiroshi Ito

Proceedings of the IEEE Conference on Decision and Control 2019-December 7007 - 7012 2019年12月

A study on distance-based control of mobile agents for formation avoiding entire and partial reflection 査読有り国際誌

Hiroshi Ito, Yuichi Miyagi

International Conference on Control, Automation and Systems 2019-October 753 - 758 2019年10月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Korea Jeju 2019年10月 - 2019年10月

© 2019 Institute of Control, Robotics and Systems - ICROS. This paper proposes a feedback control law for navigating mobile agents to form a desired shape consisting of their positions. The objective is to achieve the formation without assuming the agents to start from a sufficiently small neighborhood of the desired shape. The global setting allows one to address reflections and partial reflections of agent positions. Target shapes are defined by excluding reflections and partial reflections which are often undesirable in practice. For agents represented by single-integrator models, this paper demonstrates how targets in a standard control based on their relative position measurements can be switched to generate feedback control input preventing reflected positions with reasonable routing. The effectiveness of the proposed mechanism is studied through numerical simulations.

DOI： 10.23919/ICCAS47443.2019.8971714

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A closed form expression of nonlinear scalings for Lyapunov functions of ISS networks 査読有り

Hiroshi Ito

Proceedings of the 11th IFAC Symposium on Nonlinear Control Systems 2019 931 - 936 2019年09月

An intuitive modification of max-separable Lyapunov functions to cover non-ISS systems 査読有り国際誌

Hiroshi Ito

Automatica 107 518 - 525 2019年09月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（学術雑誌）

© 2019 Elsevier Ltd This paper proposes a new approach to the problem of establishing internal and external stability of interconnection of integral input-to-state stable (iISS) systems. In the literature of iISS and input-to-state stability (ISS), typical Lyapunov functions constructed for interconnected systems are in max-separable or sum-separable from. In contrast to the max construction, solutions to the sum construction have not been given intuitive geometrical interpretations. The max construction is, however, incapable of guaranteeing stability in the presence of iISS components which are not ISS. This paper aims at constructing a Lyapunov function in the non-ISS case through simple geometrical observations. The approach leads to a novel construction mixing the max and sum separability. The new Lyapunov function gives much useful forward invariant sets than the sum-separable ones known in the literature. It is as intuitive as the max-separable function even in the presence of a non-ISS component.

DOI： 10.1016/j.automatica.2019.06.020

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A small-gain theorem in the absence of strong iISS 査読有り国際誌

Hiroshi Ito, Christopher M. Kellett

IEEE Transactions on Automatic Control 64 ( 9 ) 3897 - 3904 2019年09月

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（学術雑誌）

Previous small-gain results for interconnected integral input-to-state (iISS) systems have been restricted to systems that are strongly iISS. This paper removes this restriction by allowing cross terms between external inputs and states in the Lyapunov decrease of component systems, and subsequently constructing a nonseparable Lyapunov function. An example demonstrates the use of this new small-gain formulation.

DOI： 10.1109/TAC.2018.2886955

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An Approach to Interval Observers for Takagi-Sugeno Systems with Attractiveness Guarantees 査読有り

Ito H., Dinh T.N.

2019 58th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2019 1268 - 1273 2019年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2019 The Society of Instrument and Control Engineers - SICE. This paper proposes a method to design interval observers for nonlinear systems by making use of the Takagi-Sugeno fuzzy model. The Takagi-Sugeno model has properties which general nonlinear systems do not posses. This paper demonstrates how such properties allow interval observers to handle nonlinearities in unmeasured variables. Instead of computing some intervals only, this paper puts emphasis on clarifying guarantees the observer can provide for a reasonable length of computed intervals in terms of convergence and attractiveness.

DOI： 10.23919/SICE.2019.8859956

Scopus

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A closed form expression of nonlinear scalings for Lyapunov functions of ISS networks 査読有り

Ito H.

IFAC-PapersOnLine 52 ( 16 ) 544 - 549 2019年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. For networks consisting of input-to-state stable systems, it is well-known that the popular Lyapunov function called the max-separable function can be constructed by solely relying on component-wise inverse maps of one single path characterizing the monotonicity of dissipation inequalities of component systems. Numerical algorithms have been developed to compute such a path. This paper proposes a useful closed-form expression for the inverse maps of a path and its extension to generate a sufficient variety of paths. The solution not only gives nonlinear scalings of the max-separable Lyapunov function explicitly, but also substantiates the rounding-off technique to remove the non-differentiable nature from the max-separable function.

DOI： 10.1016/j.ifacol.2019.12.018

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A glimpse on recent educational activities in the nonlinear control field 招待有り査読有り国際誌

Claudia Califano, Hiroshi Ito, Christophe Prieur

Proceedings of the 12th IFAC Symposium on Advances in Control Educationrol 2019-July ( 9 ) 196 - 199 2019年07月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Philadelphia 2019年07月07日 - 2019年07月09日

This contribution aims at making an overview of the most recent activities/contributions in education in the control field by members of the Technical Committee Nonlinear Systems, in order to share the best practices and ideas in the community, as well as to investigate into the level of awareness, interest and involvement of the TC members in several aspects concerning education.

DOI： 10.1016/j.ifacol.2019.08.194

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Chamfering max-separable lyapunov functions to accept non-iss in interconnected systems 査読有り

Ito H.

Proceedings of the American Control Conference 2019-July 2402 - 2407 2019年07月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2019 American Automatic Control Council. This paper aims to unify the construction of Lyapunov functions for interconnected systems comprising integral input-to-state stable (iISS) and input-to-state stable (ISS) subsystems. The sum-separable Lyapunov functions reported for interconnected iISS systems in the literature successfully apply to ISS and linear systems since stable linear systems are ISS, and ISS systems are iISS. However, the sum-separable Lyapunov functions remain seriously complicated and they do not agree with popular Lyapunov functions even if systems are ISS or linear. This paper resolves the complexity and disagreement by proposing a framework of chamfering the corner of the max-separable Lyapunov function which was popular for ISS systems, but could not alone accommodate iISS subsystems which are not ISS.

DOI： 10.23919/acc.2019.8815086

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A geometrical formulation to unify construction of Lyapunov functions for interconnected iISS systems 招待有り査読有り国際誌

Hiroshi Ito

Annual Reviews in Control 48 195 - 208 2019年05月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

© 2019 Elsevier Ltd In recent years, the ability to accommodate various nonlinearities has become even more important to support systems design and analysis in a broad area of engineering and science. In this line of research, this paper discusses usefulness of the notion of integral input-to-state stability (iISS) in assessing and establishing system properties through interconnection of component systems. The focus is to construct Lyapunov functions which explain mechanism and provide estimate of stability and robustness of interconnected systems. Unique issues arising in dealing with iISS systems are reviewed in comparison with interconnections of input-to-state stable (ISS) systems. The max-separable Lyapunov function and the sum-separable Lyapunov function which are popular for ISS and iISS, respectively, are revisited. The max-separable function cannot be qualified as a Lyapunov function when component systems are not ISS. Level sets of the max-separable function are rectangles, and the rectangles cannot be expanded to encompass the entire state space in the presence of non-ISS components. The sum-separable function covers iISS components which are not ISS. However, it has practical limitations when stability margins are small. To overcome the limitations, this paper brings in a new idea emerged recently in the literature, and proposes a new type of construction looking at level sets of a Lyapunov function. It is shown how an implicit function allows us to draw chamfered rectangles based on fictitious gain functions of component systems so that they provide reasonable estimates of forward invariant sets producing a Lyapunov function applicable to both iISS and ISS systems equally.

DOI： 10.1016/j.arcontrol.2019.05.004

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Preface for Special Issues on SICE Annual Conference 2018

Shigemasa Takai,, Hiroshi Ito

SICE Journal of Control, Measurement, and System Integration ( 公益社団法人計測自動制御学会 ) 12 ( 3 ) 67 - 67 2019年05月

A Left Eigenvector Producing a Smooth Lyapunov Function of ISS Networks 査読有り

Ito H., Rüffer B.

Lecture Notes in Control and Information Sciences 480 247 - 268 2019年01月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

For a class of monotone nonlinear systems, it is shown that a continuously differentiable Lyapunov function can be constructed implicitly from a left eigenvector of vector fields. The left eigenvector which is a continuous function of state variables is deduced from a right eigenvector which represents a small gain condition. It is demonstrated that rounding off the edges of n-orthotopes, which is the maximization of state variables, yields level sets of the Lyapunov function. Applying the development to comparison systems gives continuously differentiable input-to-state Lyapunov functions of networks consisting of input-to-state systems which are not necessarily monotone.

DOI： 10.1007/978-3-030-04327-8_20

Kyutacar

Scopus

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Adaptable iISS small-gain formulation and its application to observer-based output feedback design 査読有り

Hiroshi Ito, Hyungbo Shim

Proceedings of the IEEE Conference on Decision and Control 2018-December 5616 - 5621 2018年12月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Miami Beach 2018年12月 - 2018年12月

For a popular class of nonlinear systems, an observer can be constructed by rendering estimation error dynamics linear in unmeasured state variables. However, measurement disturbance violates the structure of the error dynamics and brings in undesirable terms in which the estimation error and the plant state are often coupled and multiplied by the measurement disturbance. This is why local analysis and semi-global design have been performed in many cases. This paper introduces new flexibility into the iISS small-gain framework to accommodate such terms. It is demonstrated how the flexible framework enables global analysis of observer-based output feedback control systems to achieve convergence and boundedness in the presence of measurement disturbance.

DOI： 10.1109/CDC.2018.8619271

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A Smooth Construction of ISS Lyapunov Functions for Interconnected Systems 査読有り

Hiroshi Ito

Proceedings of the IEEE Conference on Decision and Control 2018-December 3086 - 3091 2018年12月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Miami Beach 2018年12月 - 2018年12月

© 2018 IEEE. To establish input-to-state stability (ISS) of an interconnected nonlinear system, the small-gain framework makes use of nonlinear gain functions of components systems. Computing gain functions is usually hard without introducing Lyapunov functions to component systems. In the ISS formulation, Lyapunov functions of component systems naturally lead to a Lyapunov functions in the max-separable form for the interconnection. Since the maximization is not differentiable. technical modification or occurrence of artifical behavior is unavoidable in actual use of a max-separable Lyapunov function. This paper proposes a practical Lyapunov function by securing continuous differentiability and keeping it as simple and intuitive as the max-separable Lyapunov function.

DOI： 10.1109/CDC.2018.8619046

Scopus

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Characterisation of ultimate bounds for systems with state-dependent disturbances 査読有り

Sorin Olaru, Hiroshi Ito

IEEE Control Systems Letters 2 ( 4 ) 797 - 802 2018年10月

記述言語：英語掲載種別：研究論文（学術雑誌）

This letter pursues a framework of set characterization of dynamical systems with state-dependent disturbances. It aims to propose a new approach to analysis and design of nonlinear systems involving non-differentiability and asymmetric components which hamper application and effectiveness of local linearization methods. Several characterizations of ultimate bounds are developed. The utility of shifting the fix point is formulated as a parametrization of the ultimate bounds.

DOI： 10.1109/LCSYS.2018.2849642

Scopus

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Bypassing Disturbance Separability in Verifying Integral Input-to-State Stability of Cascade Systems 査読有り

Hiroshi Ito

2018 57th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2018 890 - 895 2018年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Japan Nara 2018年09月 - 2018年09月

© 2018 The Society of Instrument and Control Enginners - SICE. This paper proposes some variants of stability criteria for interconnected nonlinear systems which are not necessarily input-to-state stable. State-dependent weights introduced at disturbance ports remove disturbance separability assumptions made in previously known stability criteria for cascade systems. This paper put forward a unique idea of incorporating coupled weights into the formulation in order to deal with feedback interconnection of systems. The modifications require some uniformity in a feedback variable. Nevertheless, it is demonstrated that the coupled cascade formulation is sometimes far more effective than the integral input-to-state stable small-gain theorem which directly deal with feedback configurations.

DOI： 10.23919/SICE.2018.8492655

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Integral Input-to-State Stability of Cascaded Systems and Observer-Based Feedback Design 招待有り査読有り国際誌

Hiroshi Ito

Proceedings of the 2018 American Control Conference 2018-June 1339 - 1345 2018年06月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Milwaukee 2018年06月 - 2018年06月

© 2018 AACC. For nonlinear systems, stability is not always preserved under cascade interconnection. Saturation in decay dynamics and bilinearity in component systems hinder the preservation, although they do not necessarily prevent component systems from being integral input-to-state stable (iISS). This paper develops a stability condition under which cascade of iISS systems remains stable. The established stability is not only internal property, but also boundedness and convergence properties in the presence of disturbances acting on all component systems. It is shown how the cascade stability criterion is beneficial for addressing saturation and bilinearity in observer-based feedback design, whereas previously existing criteria need to invoke more restrictive assumptions and settings.

DOI： 10.23919/ACC.2018.8431854

Scopus

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An Implicit Function Approach to Lyapunov functions for Interconnections Containing Non-ISS Components 査読有り国際誌

Hiroshi Ito

The 2nd IFAC Conf. Modelling, Identification and Control of Nonlinear Systems 51 ( 13 ) 254 - 259 2018年06月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Mexico Guadalajara 2018年06月 - 2018年06月

© 2018 This paper addresses the problem of establishing internal and external stability of feedback interconnection of integral input-to-state stable systems. Construction of Lyapunov functions has been essential for establishing the stability when components are not input-to-state stable (ISS). Typical Lyapunov functions are in max-separable or sum-separable from. In contrast to the max construction, solutions to the sum construction have not been given intuitive interpretations. The max construction has limitations such as non-smoothness and incapability of guaranteeing stability in the presence of non-ISS components. This paper aims at constructing a Lyapunov function in the non-ISS case through simple geometrical observations. The approach leads to a novel construction mixing the max and sum separability. The new Lyapunov function gives much better invariant sets than the sum-separable ones known in the literature.

DOI： 10.1016/j.ifacol.2018.07.287

Scopus

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Technical Committee on Nonlinear Systems and Control 国際誌

Hiroshi Ito

IEEE Control Systems Magazine ( IEEE ) 38 ( 3 ) 16 - 18 2018年06月

Preface for Special Issues on SICE Annual Conference 2017

Kunihiko Hiraishi, Hiroshi Ito

SICE Journal of Control, Measurement, and System Integration ( 公益社団法人計測自動制御学会 ) 11 ( 2 ) 135 - 135 2018年05月

Stochastic Lyapunov functions without differentiability at supposed equilibria 査読有り国際誌

Yuki Nishimura, Hiroshi Ito

Automatica 92 188 - 196 2018年04月

Interval observers for global feedback control of nonlinear systems with robustness with respect to disturbances 査読有り国際誌

Hiroshi Ito, Thach Ngoc Dinh

European Journal of Control 39 68 - 77 2018年01月

担当区分：筆頭著者,　責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

© 2017 European Control Association This paper develops criteria for designing interval observers to guarantee robustness with respect to disturbances for feedback control of nonlinear systems. Intervals in which components of the state vector are guaranteed to stay are estimated based on the information of the range of the initial state and the disturbances. For formulating desirable properties of boundedness and convergence of estimated intervals in the presence of disturbances, the notion of integral input-to-state stability is introduced to interval observer design. Guaranteed properties of the observer-based feedback designed in the formulation are not only global, but also address nonlinearities which are broader than those covered by previously existing approaches.

DOI： 10.1016/j.ejcon.2017.10.002

Scopus

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陰関数を使った結合iISSシステムのリアプノフ関数の新構成法について

伊藤博

自動制御連合講演会講演論文集 ( 自動制御連合講演会 ) 61 ( 0 ) 729 - 735 2018年01月

Convergence of stochastic processes in the presence of disturbances: IISS/ISS and their cascades 査読有り

Hiroshi Ito

IEEE 56th Conference on Decision and Control 1 2461 - 2466 2017年12月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2017 IEEE. This paper focuses on convergence properties of nonlinear stochastic systems in the presence of disturbances. Recently, integral input-to-state stability (iISS) and input-tostate stability (ISS) have been utilized for quantifying stochastic deviation of system trajectories from an equilibrium at each instant. While these notions are practically useful for estimating distribution of occurrences at each single time, they do not provide information about convergence of the trajectories. This paper deduces convergence properties from iISS and ISS by taking probability of path-wise events. It is shown that the notions of path-wise iISS/ISS are remarkably convenient for establishing stability of cascade systems. They allow us to formulate a trajectory-based approach to stability of interconnected stochastic systems. In contrast to Lyapunov-based approaches, trajectory-based arguments are free from technical assumptions caused by the Hessian term in Ito calculus.

DOI： 10.1109/CDC.2017.8264010

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A new formulation of small-gain theorem without imposing strong iISS with respect to Disturbances on components 査読有り

Hiroshi Ito, Christopher M. Kellett

IEEE 56th Conference on Decision and Control 1 1193 - 1198 2017年12月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Australia Melbourne

© 2017 IEEE. The small-gain paradigm has long been used to verify stability of feedback interconnected systems. For component systems that are integral input-to-state stable (iISS), available small-gain results require the component systems to be strongly iISS. We remove this restriction by using a recently proposed Lyapunov characterization of iISS that allows cross terms between external inputs and states in the Lyapunov decrease condition. This novel formulation extends previously available iISS small-gain arguments, which is demonstrated in an example.

DOI： 10.1109/CDC.2017.8263818

Scopus

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Relaxing growth rate assumption for integral input-to-state stability of cascade systems 査読有り

Hiroshi Ito

2017 56th Annual Conference of the Society of Instrument and Control Engineers 1 689 - 694 2017年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2017 The Society of Instrument and Control Engineers - SICE. This paper addresses stability criteria for cascaded nonlinear systems. A stability criterion which a preceding study reported to relax a growth rate assumption is reviewed. Through presentation of its proof which was omitted in publication of the preceding study, this paper demonstrates that careful examination of the proof leads to several new extensions allowing disturbance inputs which were not allowed by the preceding result. Numerical simulation is shown to illustrate the mechanism and usefulness of the new criteria.

DOI： 10.23919/SICE.2017.8105622

Scopus

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Lyapunov Functions to Avoid Squashed Sublevel Sets for Interconnections Containing Non-ISS Components 査読有り

Hiroshi Ito

The 20th IFAC World Congress 1 ( 1 ) 7688 - 7693 2017年07月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

France Toulouse

© 2017 This paper raises the issue of undesirable sublevel sets generated by Lyapunov functions for interconnection of integral input-to-state stable (iISS) systems. Sublevel sets are important information of forward invariant sets describing behavior of systems. This paper demonstrates for the previously available Lyapunov function that in the case of small stability margins, sublevel sets are compressed in one direction and stretched in the other direction extremely when a component system is not input-to-state stable (ISS). This paper also shows conservativeness of such sublevel sets by proposing a new Lyapunov function producing much better sublevel sets. The developments reveal practical issues to which we need to attend carefully when a component system is not ISS.

DOI： 10.1016/j.ifacol.2017.08.1503

Scopus

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Path-Wise Bounds and iISS of Nonlinear Systems Exposed to Global Stochastic Noise 査読有り

Hiroshi Ito

The 20th IFAC World Congress 1 ( 1 ) 7694 - 7699 2017年07月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

France Toulouse

© 2017 This paper peruses path-wise bounds, integral input-to-state stability and integral noise-to-state stability for stochastic nonlinear systems and proposes their Lyapunov-type characterizations. The characterizations are utilized to develop small-gain criteria to verify stability of interconnected systems. In contrast to preceding results, the developments allow stochastic noise to be active globally in the state space. The obtained criteria are made parallel to deterministic ones by resolving fundamental issues arising from stochastic noises.

DOI： 10.1016/j.ifacol.2017.08.1505

Scopus

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A small-gain-type improved criterion via preservation of iISS/ISS dissipation inequalities 査読有り

Ito H.

Proceedings of the American Control Conference 1935 - 1941 2017年05月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Seattle

© 2017 American Automatic Control Council (AACC). This paper pursues a stability criterion by which better Lyapunov functions establishing stability of interconnected nonlinear systems can be constructed. Component systems are assumed to be integral input-to-state stable (iISS). Although the iISS small-gain condition in the literature is a necessary and sufficient condition in an appropriate sense, the Lyapunov function constructed for the interconnected system by the existing results is virtually unusable when stability margins are small. To identify the origin of the undesirable feature, this paper investigates techniques of iISS preservation. For developing a powerful remedy, the usage of the Legendre-Fenchel transformation in the preservation is generalized to remove all unnecessary assumptions used in previously existing results. The development is useful for establishing input-to-state stability of an interconnection from iISS components.

DOI： 10.23919/ACC.2017.7963235

Scopus

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Relationships between Subclasses of Integral Input-to-State Stability 査読有り

Christopher M. Kellett, Peter M. Dower, Hiroshi Ito

IEEE Transactions on Automatic Control 62 ( 5 ) 2476 - 2482 2017年05月

記述言語：英語掲載種別：研究論文（学術雑誌）

© 2016 IEEE. A certain "qualitative equivalence" has been recently demonstrated between integral input-to-state stability (iISS) and a nonlinear L 2 -gain property. Furthermore, it has been observed that the properties of strong iISS and nonlinear L 2 -gain are preserved when multiple systems satisfying the respective property are connected in cascade. This technical note clarifies the relationships between various input-to-state stability and (non)linear L p -gain properties.

DOI： 10.1109/TAC.2016.2598165

Scopus

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Preface for Special Issues on SICE Annual Conference 2016

Hiroshi Ito, Tetsuo Kotoku

SICE Journal of Control, Measurement, and System Integration ( 公益社団法人計測自動制御学会 ) 10 ( 2 ) 135 - 135 2017年05月

Decentralization of Interval Observers for Robust Controlling and Monitoring a Class of Nonlinear Systems 査読有り

Thach Ngoc Dinh, Hiroshi Ito

SICE Journal of Control, Measurement, and System Integration 10 ( 2 ) 117 - 123 2017年03月

担当区分：責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

This paper tackles the problem of decentralizing interval observers for robust controlling and monitoring a class of nonlinear systems. The observer-based output feedback system considered in this paper is very different from classical systems in that an observer-type system is constructed not only for controlling the state variables, but also for accurate component-wise estimation of the state variables for the entire time. Supposing that a given plant admits a classical decentralized Luenberger-type observer giving only asymptotic estimation when time is large enough in the absence of disturbances, this paper proposes an interval observer to which the classical observer can be upgraded. To achieve asymptotic convergence of the state and the estimated interval to zero in the presence of converging disturbances, the notion of integral input-to-state stability is utilized.

DOI： 10.9746/jcmsi.10.117

CiNii Article

その他リンク： http://ci.nii.ac.jp/naid/130005475962

非線形確率系の経路的積分入力状態安定性による収束と結合の解析について

伊藤博

自動制御連合講演会講演論文集 ( 自動制御連合講演会 ) 60 ( 0 ) 645 - 648 2017年01月

Lower-power Lyapunov functions for networks of integral input-to-state stable systems 招待有り査読有り

Hiroshi Ito

2016 IEEE 55th Conference on Decision and Control 471 - 476 2016年12月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Las Vegas

© 2016 IEEE.This paper proposes a new method to construct Lyapunov functions for networks of integral input-to-state stable systems. The idea of the construction is to sum up Lyapunov functions of component systems. This sum-type construction can directly cover systems which are not input-to-state stable, although another popular construction of max-type cannot. According to the sum-type construction available in the literature, the growth order of the Lyapunov function with respect to state variables is a function of stability margin. As the margin approaches zero, i.e., as the largest amplification factor of components maintaining stability reduces to unity, the growth of the constructed Lyapunov function increases unboundedly. This paper proposes a technique of Lyapunov construction avoiding such rapid growth. This paper also highlights another unique advantage of reducing the number of tests a typical small-gain criterion requires.

DOI： 10.1109/CDC.2016.7798313

Scopus

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Decentralized interval observer-based control for a class of nonlinear systems 査読有り

Thach Ngoc Dinh, Hiroshi Ito

55th Annual Conference of the Society of Instrument and Control Engineers 1426 - 1431 2016年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper proposes an approach to the design of decentralized interval observer-based output feedback controllers for a class of nonlinear systems. In contrast to observers in the classical sense, the interval observer not only generates signals to stabilize the system based on output measurement, but also provides all times an interval in which the state vector is sure to lie. This paper shows how to introduce decentralized structure to the interval observer-based output feedback for stabilization of large-scale systems with decoupled communication. The notion of integral input-to-state stability is utilized successfully to achieve convergence of the state and the estimated interval to zero in the presence of disturbances.

DOI： 10.1109/SICE.2016.7749191

Scopus

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On feedback transformation and integral input-to-state stability in designing robust interval observers 招待有り査読有り国際誌

Thach Ngog Dinh, Hiroshi Ito

The 5th International Symposium on Positive Systems No.4-3, 2 pages 2016年09月

Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions 査読有り

Andrii Mironchenko, Hiroshi Ito

Mathematical Control and Related Fields 6 ( 3 ) 447 - 466 2016年09月

記述言語：英語掲載種別：研究論文（学術雑誌）

© 2016, American Institute of Mathematical Sciences. All rights reserved.For bilinear infinite-dimensional dynamical systems, we show the equivalence between uniform global asymptotic stability and integral inputto- state stability. We provide two proofs of this fact. One applies to general systems over Banach spaces. The other is restricted to Hilbert spaces, but is more constructive and results in an explicit form of iISS Lyapunov functions.

DOI： 10.3934/mcrf.2016011

Scopus

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iISS and ISS dissipation inequalities: preservation and interconnection by scaling 査読有り

Hiroshi Ito, Christopher M. Kellett

Mathematics of Control, Signals, and Systems 28 ( 3 ) Aircle 17, 36 pages 2016年09月

担当区分：責任著者記述言語：英語掲載種別：研究論文（学術雑誌）

© 2016, Springer-Verlag London.In analysis and design of nonlinear dynamical systems, (nonlinear) scaling of Lyapunov functions has been a central idea. This paper proposes a set of tools to make use of such scalings and illustrates their benefits in constructing Lyapunov functions for interconnected nonlinear systems. First, the essence of some scaling techniques used extensively in the literature is reformulated in view of preservation of dissipation inequalities of integral input-to-state stability (iISS) and input-to-state stability (ISS). The iISS small-gain theorem is revisited from this viewpoint. Preservation of ISS dissipation inequalities is shown to not always be necessary, while preserving iISS which is weaker than ISS is convenient. By establishing relationships between the Legendre–Fenchel transform and the reformulated scaling techniques, this paper proposes a way to construct less complicated Lyapunov functions for interconnected systems.

DOI： 10.1007/s00498-016-0169-2

Scopus

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Allowing Nonlinear Stability Margins in Interconnection of iISS Dissipation Inequalities 査読有り

Hiroshi Ito

The 10th IFAC Symposium on Nonlinear Control Systems (IFAC-PapersOnLine) 1 ( 18 ) 933 - 938 2016年08月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Monterey

© 2016This paper tackles the problem of constructing Lyapunov functions of interconnected systems when gain margins are not linear. Nonlinear small-gain criteria such as (i)ISS small-gain theorems allow systems to have gains which are not necessarily linear. However, allowing nonlinear gains does not mean coping with nonlinear gain margins. Gain margins quantify how small the map of the (nonlinear) loop gain is with respect to the identity map. In the integral input-to-state stability (iISS) framework which do not require input-to-state stability (ISS), in contrast to trajectory-based arguments, construction of Lyapunov functions in the literature has been often limited to the linear gain margin case. For constructing Lyapunov functions of interconnected systems whose components are not necessarily ISS and whose linear gain margins allowed to be zero, this paper develops a symmetric formula which has several clear advantages.

DOI： 10.1016/j.ifacol.2016.10.284

Scopus

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Stochastic Stability via Lyapunov Functions without Differentiability at Supposed Equilibria 査読有り

Yuki Nishimura, Hiroshi Ito

The 10th IFAC Symposium on Nonlinear Control Systems 1 ( 18 ) 327 - 332 2016年08月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Monterey 2016年09月 - 2016年09月

© 2016The objective of this paper is to tackle point stability of stochastic systems without requiring noise diffusion coefficients to vanish at the point of interest. Behavioral differences between vanishing coefficients and non-vanishing coefficients arising in adding stochastic noises are illustrated by examples. To identify the differences appropriately, this paper examines the concept of equilibria and proposes several stability properties by introducing the notions of instantaneous points and almost sure equilibria. In addition to clarifying the relationship between those stability properties, Lyapunov-type characterizations are presented as sufficient conditions for those stability properties by making use of functions which are not necessarily twice differentiable at the point of interest. Discussion is also given to relate the stability property of an instantaneous point with noise-to-state stability.

DOI： 10.1016/j.ifacol.2016.10.185

Scopus

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Stability of systems coupled through noisy mediums 査読有り

Ito H.

Proceedings of the American Control Conference 2016-July 2983 - 2988 2016年07月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Boston 2016年07月 - 2016年07月

© 2016 American Automatic Control Council (AACC).This paper focuses on stability of interconnected systems whose connecting channels are exposed to stochastic noises. This class of systems includes interconnected systems whose coupling is brought in only by stochastic noises. Another example is coupling through noisy amplification. This paper shows how to construct Lyapunov functions to verify stability for such a class of systems, and illustrates that the behavior changes drastically when systems involve nonlinearities. Small-gain type criteria are proposed for asymptotic stability, integral input-to-state stability and input-to-state stability. This paper also proposes a unique way to reduce possible conservativeness.

DOI： 10.1109/ACC.2016.7525373

Scopus

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Allowing vanishing stability margins in preservation of (i)ISS dissipation inequalities by scaling 査読有り

Hiroshi Ito

Proceedings of the American Control Conference 1 1130 - 1135 2016年07月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

USA Boston 2016年07月 - 2016年07月

© 2016 American Automatic Control Council (AACC).Scaling of Lyapunov functions is one of effective tools in analyzing and designing dynamical systems from components. Integral input-to-state stability and input-to-state stability are notions which allow one to make use of dissipation inequalities in such modular-based analysis with the help of nonlinear gain which may not be globally defined. Effectively selecting nonlinear scalings is crucial for coping with nonlinearities in components without causing degradation of dissipative properties and their estimates. This paper focuses on scalings for systems which do not admit uniform stability margins and proposes new tools applicable to cases which have not been addressed in the literature. In addition to demonstrating preservation of (i)ISS dissipation inequalities by scaling, this paper illustrates the usefulness of the proposed scaling formulas in analyzing stability of cascaded systems through examples.

DOI： 10.1109/ACC.2016.7525067

Scopus

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Interval observers for continuous-time bilinear systems with discrete-time outputs 査読有り

Thach Ngoc Dinh, Hiroshi Ito

2016 European Control Conference 1418 - 1423 2016年06月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Denmark Aalborg

© 2016 EUCA. For a family of continuous-time nonlinear systems with input, output and disturbances in the case where measurements are available only at discrete instants, a new interval observer design is proposed. The family covers bilinear (and linear) systems with static output feedback as special cases. Employing the structure of Luenberger-type observers, we construct framers that allow us to determine a lower and an upper bounds of state variables in the presence of disturbances, provided that intervals in which uncertain initial conditions and uncertain disturbances lie are known. It is proved that the lower and upper bounds of state variables converge to each other completely when the maximum time interval of measurements is sufficiently small in the absence of disturbances.

DOI： 10.1109/ECC.2016.7810488

Scopus

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An iISS framework for stochastic robustness of interconnected nonlinear systems 査読有り

Hiroshi Ito, Yuki Nishimura

IEEE Trans. Automatic Control 61 ( 6 ) 1508 - 1523 2016年06月

Technical Committee on Nonlinear Systems and Control 国際誌

Hiroshi Ito

IEEE Control Systems Magazine ( IEEE ) 36 ( 3 ) 17 - 18 2016年06月

Interval observers for nonlinear systems with appropriate output feedback 査読有り

Hiroshi Ito, Thach Ngog Dinh

The 2nd SICE International Symposium on Control Systems 9 - 14 2016年03月

担当区分：責任著者記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

Japan Nagoya 2016年03月 - 2016年03月

The problem of designing interval observers for nonlinear systems exposed to disturbances is addressed in this paper. Intervals in which components of the state vector reside in are estimated by the interval observer consisting of two Luenberger-type observers making use of the information of the range of the initial state and the disturbances. The main feature of the proposed method is to encompass a larger class of nonlinearities than previously existing approaches. This paper demonstrates that an integral input-to-state stability (iISS) framework not only accomplishes this goal, but also provides us with robustness of convergence with respect to the disturbances.

DOI： 10.1109/SICEISCS.2016.7470174

Scopus

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Preface for Special Issues on SICE Annual Conference 2015

ITO Hiroshi, LIU Kang-Zhi

SICE Journal of Control, Measurement, and System Integration ( 公益社団法人計測自動制御学会 ) 9 ( 2 ) 43 - 43 2016年01月

積分入力状態安定性のリアプノフ特徴化におけるノイズ直交制約の排除

伊藤博

自動制御連合講演会講演論文集 ( 自動制御連合講演会 ) 59 ( 0 ) 75 - 78 2016年01月

担当区分：筆頭著者,　責任著者記述言語：日本語掲載種別：研究論文（研究会，シンポジウム資料等）

確率ノイズが加わる非線形ダイナミカルシステムの安定性をリアプノフ型関数として特徴化する問題を取り扱う。従来の結果では、遠方ノイズ直交性の仮定が必要であったが、本発表ではこれを完全に取り除くことが可能であることを示す。結合システムの取り扱いにおいて、新たに可能となることも明らかにする。

DOI： 10.11511/jacc.59.0_75

CiNii Article

CiNii Research

原点での微分不可能性が導く確率リャプノフ関数の新しい可能性

西村悠樹, 伊藤博

自動制御連合講演会講演論文集 ( 自動制御連合講演会 ) 59 ( 0 ) 227 - 230 2016年01月

担当区分：筆頭著者,　責任著者記述言語：日本語掲載種別：研究論文（研究会，シンポジウム資料等）

確率リャプノフ関数（SLF)の存在は、確率システムの原点が確率安定であることを保証する。SLFは、その定義からC2であることが要求される。しかし、確率安定な原点を持つ確率システムがC2級のSLFを持たないことがある。そこで、本研究では、SLFの微分可能性を原点でのみ緩和することで、安定性を保証できるシステムが増えることを示す。また、この緩和により、平衡点ではない原点に対してSLFが存在してしまうケースがあることを示し、その安定性について議論する。

DOI： 10.11511/jacc.59.0_227

CiNii Article

CiNii Research

Integral input-to-state stabilization by stochastic noise generated in bounded regions 招待有り査読有り

Hiroshi Ito, Yuki Nishimura

The 54th IEEE Conf. Decision Control 1835 - 1840 2015年12月

Sum-separable Lyapunov functions for networks of ISS systems: A gain function approach 招待有り査読有り

Bjoern S. Rueffer, Hiroshi Ito

The 54th IEEE Conf. Decision Control 1823 - 1828 2015年12月

Stability of stochastic nonlinear systems in cascade with not necessarily unbounded decay rates 査読有り

Hiroshi Ito, Yuki Nishimura

Automatica 62 ( 12 ) 51 - 64 2015年12月

Construction of Lyapunov functions for interconnected parabolic systems: an iISS approach 査読有り

Andrii Mironchenko, Hiroshi Ito

SIAM Journal on Control and Optimization 53 ( 6 ) 3364 - 3382 2015年11月

Separable Lyapunov functions: Constructions and limitations 査読有り

Gunther Dirr, Hiroshi Ito, Anders Rantzer, Bjoern S. Rueffer

Discrete and Continuous Dynamical Systems - Series B 20 ( 8 ) 2497 - 2526 2015年08月

A Lyapunov approach to iISS and iNSS for stochastic systems in path-wise probability 査読有り

Hiroshi Ito, Yuki Nishimura

2015 American Control Conference 5986 - 5991 2015年07月

Construction of iISS Lyapunov functions for interconnected parabolic systems 招待有り査読有り

Andrii Mironchenko, Hiroshi Ito

The 14th European Control Conference 37 - 42 2015年07月

Preservation and interconnection of iISS and ISS dissipation inequalities by scaling 査読有り

Hiroshi Ito, Christopher M. Kellett

The 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems 776 - 781 2015年06月

Construction of Lyapunov functions for interconnected parabolic systems: An iISS approach 査読有り

Andrii Mironchenko, Hiroshi Ito

SIAM Journal on Control and Optimization 53 ( 6 ) 3364 - 3382 2015年06月

Max- and sum-separable Lyapunov functions for monotone systems and their level sets 招待有り査読有り

Hiroshi Ito, Bjoern S. Rueffer, Anders Rantzer

The 53rd IEEE Conf. Decision Control 2371 - 2377 2014年12月

Integral input-to-state stability of bilinear infinite-dimensional systems 査読有り

Andrii Mironchenko, Hiroshi Ito

The 53rd IEEE Conf. Decision Control 3155 - 3160 2014年12月

Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems 査読有り

Pierdomenico Pepe, Hiroshi Ito, Zhong-Ping Jiang

The 53rd IEEE Conf. Decision Control 1209 - 1214 2014年12月

Combining iISS and ISS with respect to small inputs: the Strong iISS property 査読有り

Antoine Chaillet, David Angeli, Hiroshi Ito

IEEE Trans. Automatic Control 59 ( 9 ) 2518 - 2524 2014年09月

Strong iISS is preserved under cascade interconnection 査読有り

Antoine Chaillet, David Angeli, Hiroshi Ito

Automatica 50 ( 9 ) 2424 - 2427 2014年09月

Stability criteria for cascaded nonlinear stochastic systems admitting not necessarily unbounded decay rate 査読有り

Hiroshi Ito, Yuki Nishimura

The 19th IFAC World Congress 8616 - 8622 2014年08月

Construction of Lyapunov functionals for networks of coupled delay differential and continuous-time difference equations 査読有り

Hiroshi Ito, Frédéric Mazenc, Pierdomenico Pepe

The 19th IFAC World Congress 6800 - 6805 2014年08月

Stochastic robustness of interconnected nonlinear systems in an iISS framework 査読有り

Hiroshi Ito, Yuki Nishimura

2014 American Control Conference 5210 - 5216 2014年06月

On a small gain theorem for ISS networks in dissipative Lyapunov form 査読有り

Dashkovskiy S., Ito H., Wirth F.

2009 European Control Conference, ECC 2009 1077 - 1082 2014年03月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© 2009 EUCA.In this paper we consider several interconnected ISS systems supplied with ISS Lyapunov functions defined in the dissipative form. Our aim is to construct an ISS Lyapunov function for the interconnection. We provide a condition of a small gain type under which this construction is possible and describe a method of an explicit construction of such an ISS Lyapunov function.

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Stability criteria for cascaded nonlinear stochastic systems admitting not necessarily unbounded decay rate 査読有り

Ito H., Nishimura Y.

IFAC Proceedings Volumes (IFAC-PapersOnline) 19 8616 - 8622 2014年01月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© IFAC.This paper considers global asymptotic stability and robustness of cascaded nonlinear stochastic systems, and presents Lyapunov-based criteria. Constituent systems are characterized in terms of dissipation inequalities almost in the form of input-to-state stability (ISS) which is popular for both stochastic and deterministic systems. As an important unique feature of stochastic systems, this paper first demonstrates that assuming ISS systems having unbounded decay rate is restrictive, which contrasts sharply with the deterministic case. This motivates the second part of the main results focusing on ISS systems with bounded decay rate as well as systems which are not ISS. With these developments, this paper proposes a framework based on integral input-to-state stability (iISS) and demonstrates its usefulness.

Scopus

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Construction of lyapunov functional for networks of coupled delay differential and continuous-time difference equations 査読有り

Ito H., Mazenc F., Pepe P.

IFAC Proceedings Volumes (IFAC-PapersOnline) 19 6800 - 6805 2014年01月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

© IFAC.To address various types of delays including the neutral-type arising in dynamical networks, this paper deals with coupled delay differential and continuous-time difference equations and develops stability and robustness criteria. Subsystems described by differential equations are not required to be input-to-state stable. No assumptions on network topology are made. To tackle networks in such a general formulation, this paper explicitly constructs Lyapunov-type functionals establishing stability and robustness of the overall networks. The construction requires only simple characterizations of subsystems in terms of inequalities with Lyapunov functions and instantaneous norms.

Scopus

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Robustifying local feedback for dynamical networks with respect to disturbances 査読有り

Ito H.

Proceedings of the SICE Annual Conference 1896 - 1901 2013年12月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

In this paper, a problem of designing decentralized robust controllers for dynamical networks is considered. For general topology of nonlinear networks, it is shown that integral input-to-state stability with respect to additive disturbances acting on subsystems can be achieved by local state feedback. The robustification is proven possible in the decentralized way if the network satisfies a small-gain condition.

Scopus

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Construction of Lyapunov functionals for coupled differential and continuous time difference equations 査読有り

Frederic Mazenc, Hiroshi Ito, Zhong-Ping Jiang

The 52nd IEEE Conf. Decision Control 2245 - 2250 2013年12月

Construction of Lyapunov-Krasovskii functionals for networks of iISS retarded systems in small-gain formulation 査読有り

Hiroshi Ito, Pierdomenico Pepe, Zhong-Ping Jiang

Automatica 49 ( 11 ) 3246 - 3257 2013年11月

Robustifying Local feedback for dynamical networks with respect to disturbances 招待有り査読有り

Hiroshi Ito

SICE Annual Conference 2013 1896 - 1901 2013年09月

A two-phase approach to stability of networks given in iISS framework: Utilization of a matrix-like criterion 査読有り

Ito H., Ruffer B.

Proceedings of the American Control Conference 4838 - 4843 2013年09月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This article is concerned with global asymptotic stability (GAS) of dynamical networks. The case when subsystems are integral input-to-state stable (iISS) has been recognized as notoriously difficult to deal with in the literature. In fact, the lack of energy dissipation for large input denies direct application of the small-gain argument for input-to-state stable (ISS) subsystems. Here for networks consisting of iISS subsystems it is demonstrated that a two-phase approach allows us to make use of the ISS small-gain argument by separating a trajectory into a transient and a subsequent ISS-like phase. In contrast to the previous iISS results, the two-phase approach immediately leads to a sufficiency criterion for GAS of general nonlinear networks, which is given in a matrix-like form (order condition). © 2013 AACC American Automatic Control Council.

Scopus

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Utility of iISS in composing Lyapunov functions 査読有り

Hiroshi Ito

The 9th IFAC Symposium on Nonlinear Control Systems 723 - 730 2013年09月

Two-phase approach to stability of networks given in iISS framework: Utilization of a matrix-like criterion 査読有り

Hiroshi Ito, Bjoern S. Rueffer

2013 American Control Conference 4845 - 4850 2013年06月

Robust stability of networks of iISS systems: Construction of sum-type Lyapunov functions 査読有り

Hiroshi Ito, Zhong-Ping Jiang, Sergey Dashkovskiy, Bjoern S. Rueffer

IEEE Trans. Automatic Control 58 ( 5 ) 1192 - 1207 2013年05月

Disturbance and delay robustness guarantees of gradient systems based on static noncooperative games with an application to feedback control for PEV charging load allocation 査読有り

Hiroshi Ito

IEEE Trans. Control Systems Technology 21 ( 4 ) 1374 - 1385 2013年04月

Lyapunov technique and backstepping for nonlinear neutral systems 査読有り

Frederic Mazenc, Hiroshi Ito

IEEE Trans. Automatic Control 58 ( 2 ) 512 - 517 2013年02月

Revisiting the iISS small-gain theorem through transient plus ISS small-gain regulation 査読有り

Hiroshi Ito, Randy A. Freeman, Antoine Chaillet

Asian Journal of Control 15 ( 1 ) 11 - 19 2013年01月

Strong iISS: Combination of iISS and ISS with respect to small inputs 査読有り

Antoine Chaillet, David Angeli, Hiroshi Ito

The 51th IEEE Conf. Decision Control 2256 - 2261 2012年12月

A cyclic small-gain condition and an equivalent matrix-like criterion for iISS networks 査読有り

Hiroshi Ito, Zhong-Ping Jiang, Sergey Dashkovskiy, Bjoern S. Rueffer

The 51th IEEE Conf. Decision Control 4158 - 4164 2012年12月

New stability analysis technique and backstepping for neutral nonlinear systems 査読有り

Mazenc F., Ito H.

Proceedings of the American Control Conference 4673 - 4678 2012年11月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

For nonlinear systems with delay of neutral type, we propose a new technique of stability and robustness analysis. It relies on the construction of functionals that make it possible to establish estimates of the solutions different from, but very similar to, estimates of ISS or iISS type. These functionals are themselves different from, but very similar to, ISS or iISS Lyapunov-Krasovskii functionals. The approach applies to systems which do not have a globally Lipschitz vector field and are not necessarily locally exponentially stable. We apply this technique to carry out a backstepping design of stabilizing control laws for a family of neutral nonlinear systems. © 2012 AACC American Automatic Control Council).

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An iISS formulation for establishing robust stability of dynamical networks with neutral, retarded and communication delay 査読有り

Ito H., Mazenc F.

Proceedings of the American Control Conference 6394 - 6399 2012年11月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

In this paper, we study dynamical networks consisting of neutral subsystems and propose a method that enables us to verify their stability and robustness with respect to time delays and disturbances. Time-delays are allowed not only to reside in both subsystems and interconnection channels in either of discrete and distributed forms, but also to appear in the neutral form. Each neutral subsystem is assumed to have a sort of integral input-to-state stable property. No assumption is made on the interconnection topology. A small-gain-type sufficient condition for global asymptotic stability and robustness of the network is developed and a Lyapunov-Krasovskii functional proving the stability is constructed. © 2012 AACC American Automatic Control Council).

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Capability and limitation of max- and sum-type construction of Lyapunov functions for networks of iISS systems 査読有り

Hiroshi Ito,Sergey Dashkovskiy,Fabian Wirth

Automatica 48 ( 6 ) 1197 - 1204 2012年06月

An iISS formulation for establishing robust stability of dynamical networks with neutral, retarded and communication delay 査読有り

Hiroshi Ito, Frederic Mazenc

2012 American Control Conference 6394 - 6399 2012年06月

New stability analysis technique and backstepping for neutral nonlinear systems 査読有り

Frederic Mazenc, Hiroshi Ito

2012 American Control Conference 4673 - 4678 2012年06月

Decentralized iISS robustification of interconnected time-delay systems: a small-gain approach 査読有り

Hiroshi Ito, Pierdomenico Pepe, Zhong-Ping Jiang

The 10th IFAC Workshop on Time Delay Systems 219 - 224 2012年06月

On saturation, discontinuities, and delays, iISS and ISS feedback control redesign 査読有り

Pierdomenico Pepe,Hiroshi Ito

IEEE Trans. Automatic Control 57 ( 5 ) 1125 - 1140 2012年05月

Necessary conditions for global asymptotic stability of networks of iISS systems 査読有り

Hiroshi Ito

Mathematics of Control, Signals, and Systems 24 ( 1 ) 55 - 74 2012年01月

A sensitivity trade-off arising in small-gain design for nonlinear systems: An iISS framework 査読有り

Chaillet A., Ito H.

Proceedings of the IEEE Conference on Decision and Control 6066 - 6071 2011年12月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This note investigates the trade-off arising in disturbance attenuation for nonlinear feedback systems in the framework of integral input-to-state stability. Similarly to the linear case, we show that if a gain tuning on one subsystem is used to drastically reduce the effect of its exogenous disturbances, then the other subsystem's disturbance attenuation is qualitatively the same as in open loop. © 2011 IEEE.

DOI： 10.1109/CDC.2011.6161080

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Connecting several stability criteria for iISS networks and their application to a network computing model 査読有り

Hiroshi Ito

The 50th IEEE Conf. Decision Control and European Control Conference 6072 - 6078 2011年12月

Disturbance rejection in iISS feedback nonlinear systems: a sensitivity trade-off 査読有り

Antoine Chaillet,Hiroshi Ito

The 50th IEEE Conf. Decision Control and European Control Conference 6066 - 6071 2011年12月

Disturbance and delay robustness of gradient feedback systems based on static noncooperative games with application to PEV charging 査読有り

Hiroshi Ito

The 50th IEEE Conf. Decision Control and European Control Conference 325 - 330 2011年12月

A small-gain theorem and construction of sum-type Lyapunov functions for networks of iISS systems 査読有り

Ito H., Jiang Z., Dashkovskiy S., Ruffer B.

Proceedings of the American Control Conference 1971 - 1977 2011年09月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper gives a solution to the problem of verifying stability of networks consisting of integral input-to-state stable (iISS) subsystems. The iISS small-gain theorem developed recently has been restricted to interconnection of two subsystems. For large-scale systems, stability criteria relying only on gain-type information have been successful only in dealing with input-to-state stable stable (ISS) subsystems. To address the stability problem involving iISS subsystems interconnected in general structure, this paper shows how to construct Lyapunov functions of the network by means of nonlinear sum of individual Lyapunov functions of subsystems given in a dissipation formulation under an appropriate small-gain condition. © 2011 AACC American Automatic Control Council.

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An asymmetric small-gain technique to construct Lyapunov-Krasovskii functionals for nonlinear time-delay systems with static components 査読有り

Ito H.

Proceedings of the American Control Conference 4872 - 4877 2011年09月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

The standard ISS small-gain theorem and the recently-developed iISS small-gain theorem assume that system components are characterized in a symmetric way with respect to the equilibrium. Dissipative properties of a nonlinear system is usually asymmetric. Formulating them into symmetric properties sometimes causes crucial conservativeness. The purpose of this paper is to develop a technique to take the asymmetry into account in stability analysis of time-delay systems. The result is based on decomposition of a system into integral input-to-state stable dynamic components and static components characterized in an asymmetric way with respect to the equilibrium. A Lyapunov-Krasovskii functional establishing robustness with respect to disturbances in the presence of time-delays is constructed, and its effectiveness is illustrated by a network flow control example. The proposed iISS methodology covers a broader class of systems than existing approaches based on operator norms or the ISS gain. © 2011 AACC American Automatic Control Council.

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A small-gain methodology for networks of iISS retarded systems based on Lyapunov-Krasovskii functionals 査読有り

Hiroshi Ito,Zhong-Ping Jiang,Pierdomenico Pepe

The 18th IFAC World Congress 5100 - 5105 2011年09月

積分入力状態安定性による非線形ダイナミクスの特徴付け - 概念と有用性 -

伊藤博

システム制御情報 ( システム制御情報学会 ) 55 ( 8 ) 326 - 332 2011年08月

An asymmetric small-gain technique to construct Lyapunov-Krasovskii functionals for nonlinear time-delay systems with static components 査読有り

Hiroshi Ito

2011 American Control Conference 4872 - 4877 2011年06月

A small-gain theorem and construction of sum-type Lyapunov functions for networks of iISS systems 査読有り

Hiroshi Ito,Zhong-Ping Jiang,Sergey Dashkovskiy,Bjoern Rueffer

2011 American Control Conference 1971 - 1977 2011年06月

On a small gain theorem for ISS networks in dissipative Lyapunov form 査読有り

Sergey Dashkovskiy,Hiroshi Ito,Fabian Wirth

European Journal of Control 17 ( 4 ) 357 - 369 2011年04月

Computing asymptotic gains of large-scale interconnections 招待有り査読有り

Bjoern Rueffer,Hiroshi Ito

The 49th IEEE Conf. Decision Control 7413 - 7418 2010年12月

Necessary conditions for stability of networks of iISS systems 招待有り査読有り

Hiroshi Ito

The 49th IEEE Conf. Decision Control 7401 - 7406 2010年12月

Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation 査読有り

Hiroshi Ito, Randy A. Freeman and Antoine Chaillet

The 49th IEEE Conf. Decision Control 2432 - 2437 2010年12月

Construction of Lyapunov functions for networks of iISS systems: An explicit solution for a cyclic structure 招待有り査読有り

Ito H.

Proceedings of the 2010 American Control Conference, ACC 2010 196 - 201 2010年10月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper addresses the problem of constructing Lyapunov functions to establish integral input-to-state stabil- ity (iISS) for networks of nonlinear systems. Since the iISS small-gain theorem developed recently has been restricted to interconnection of two subsystems, this paper formulates the problem for a network consisting of more than two iISS subsystems interconnected in a general way. In the case of a cyclic interconnection structure, this paper explicitly shows a solution from which an iISS Lyapunov function of the cyclic network is composed immediately. This paper aims at improving the author's iISS small-gain technique for deriving a general stability criterion linked directly to a general procedure for explicitly constructing a Lyapunov function for a broader class of iISS networks. © 2010 AACC.

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On saturation, discontinuities and time-delays in iISS and ISS feedback control redesign 招待有り査読有り

Pepe P., Ito H.

Proceedings of the 2010 American Control Conference, ACC 2010 190 - 195 2010年10月

記述言語：英語掲載種別：研究論文（国際会議プロシーディングス）

This paper addresses input-to-state stability (ISS) and integral ISS (iISS) redesign to enhance robustness of feedback control systems in the face of actuator disturbances. The idea of the redesign is to modify control laws available for disturbance-free systems a priori in order to achieve robustness against the disturbance. In practice, control system design often encounters time-delays, discontinuities and actuator limitations at the same time. This paper proposes a unified treatment of these issues in the redesign for actuator disturbances. For the new class of systems, we pursue LgV-type formulas which are widely used for ordinary differential equations. In addition, we incorporate saturation into the LgV-type control for implementation in the presence of actuator limitations. To derive such a redesign formula, we develop a framework of ISS/iISS Lyapunov-Krasovskii functionals allowing for the Filippov solutions. This paper demonstrates that the notion of invariantly differentiable functionals is useful for deriving LgV-type control laws and dealing with discontinuities directly. The iISS formulation which includes the ISS as a special case allows us to address actuator limitations in the redesign problem in a flexible manner. © 2010 AACC.

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A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals 査読有り

Hiroshi Ito,Pierdomenico Pepe,Zhong-Ping Jiang

Automatica 46 ( 10 ) 1646 - 1656 2010年10月

Delay robustness of CDMA Power Control in the presence of disturbances using iISS small-gain technique 招待有り査読有り

Hiroshi Ito,Hiroto Suzuki ,Shunji Taketomi

The IEEE Conference on Control Applications 1109 - 1114 2010年09月

On saturation, discontinuities and time-delays in iISS and ISS feedback control redesign 招待有り査読有り

Pierdomenico Pepe,Hiroshi Ito

2010 American Control Conference 190 - 195 2010年06月

Construction of Lyapunov functions for networks of iISS systems: An explicit solution for a cyclic structure 招待有り査読有り

Hiroshi Ito

2010 American Control Conference 196 - 201 2010年06月

A Lyapunov approach to cascade interconnection of integral input-to-state stable systems 査読有り

Hiroshi Ito

IEEE Trans. Automatic Control 55 ( 3 ) 702 - 708 2010年03月

On a small gain theorem for networks of iISS systems 査読有り

Hiroshi Ito,Sergey Dashkovskiy,Fabian Wirth

The 48th IEEE Conf. Decision Control 4210 - 4215 2009年12月

Necessary and sufficient small gain conditions for integral input-to-state stable systems: A Lyapunov perspective 査読有り

Hiroshi Ito,Zhong-Ping Jiang

IEEE Trans. Automatic Control 54 ( 10 ) 2389 - 2404 2009年10月

On a small gain theorem for ISS networks in dissipative Lyapunov form 査読有り

Sergey Dashkovskiy,Hiroshi Ito,Fabian Wirth

The 10th European Control Conference 1077 - 1082 2009年08月

Further results on Lyapunov-Krasovskii functionals via nonlinear small-gain conditions for interconnected retarded iISS systems 査読有り

Hiroshi Ito,Pierdomenico Pepe,Zhong-Ping Jiang

2009 American Control Conference 5458 - 5458 2009年06月

A Lyapunov approach to integral input-to-state stability of cascaded systems with external signals 査読有り

伊藤　博

The 47th IEEE Conf. Decision Control 628 - 633 2008年12月

A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear　systems 査読有り

Hiroshi Ito,Pierdomenico Pepe,Zhong-Ping Jiang

The 47th IEEE Conf. Decision Control 19 - 24 2008年12月

安定性と安定化 - 初歩からの概観 -

伊藤博

計測自動制御学会非線形ダイナミクス制御ワークショップ資料 ( 計測自動制御学会 ) E1 - E14 2008年11月

Lyapunov functions for networks of asymmetrically iISS systems and circadian oscillations 査読有り

伊藤　博

SICE Annual Conference 2008 3283 - 3288 2008年08月

Bilaterally flexible Lyapunov inequalities for nonlinear small-gain method covering iISS systems 査読有り

伊藤　博

The 17th IFAC World Congress 2460 - 2465 2008年07月

Small-gain conditions and Lyapunov functions applicable equally to iISS and ISS systems without uniformity assumption 査読有り

Hiroshi Ito,Zhong-Ping Jiang

2008 American Control Conference 2297 - 2303 2008年06月

A degree of flexibility in Lyapunov inequalities for establishing input-to-state stability of interconnected systems 査読有り

伊藤　博

Automatica 44 ( 9 ) 2340 - 2346 2008年04月

A Lyapunov function for interconnected ISS systems derived from　dissipation inequalities 査読有り

Hiroshi Ito

The 46th IEEE Conf. Decision Control 4465 - 4470 2007年12月

Asymmetric iISS and ISS properties yielding stability of interconnected systems and an application to a circadian model 査読有り

伊藤　博

2007 American Control Conference 3041 - 3046 2007年07月

Non-linear robust boundary control of the Kuramoto-Sivashinsky equation 査読有り

Rathinasamy Sakthivel,Hiroshi Ito

IMA Journal of Mathematical Control and Information 24 ( 1 ) 47 - 55 2007年04月

Nonlinear small-gain condition covering iISS systems: Necessity and sufficiency from a Lyapunov perspective 査読有り

Hiroshi Ito

The 45th IEEE Conf. Decision Control 355 - 360 2006年12月

安定性とその利用法 -- 自律から入力・結合へ --

伊藤博

計測自動制御学会非線形ダイナミクス制御ワークショップ2006資料 ( 計測自動制御学会 ) B1 - B25 2006年11月

A universal parametrization of supply rates for iISS and ISS systems 査読有り

伊藤　博

SICE-ICASE International Joint Conference 2006 2408 - 2411 2006年10月

A General small-gain formula for nonlinear interconnected systems: An equivalent of iISS-ISS small-gain condition 査読有り

伊藤　博

The 17th International Symposium on Mathematical Theory of Networks and Systems 2033 - 2038 2006年07月

Parametrization of supply rates for multi-loop ISS systems: Beyond invariance of nonlinear gain 査読有り

伊藤　博

The 17th International Symposium on Mathematical Theory of Networks and Systems 946 - 952 2006年07月

A tool for stability analysis of nonlinear large-scale systems by cascading star products 査読有り

伊藤　博

2006 American Control Conference 632 - 637 2006年06月

On necessary conditions for stability of interconnected iISS systems 査読有り

Hiroshi Ito,Zhong-Ping Jiang

2006 American Control Conference 1499 - 1504 2006年06月

State-dependent scaling problems and stability of interconnected iISS and ISS systems 査読有り

伊藤　博

IEEE Trans. Automatic Control 51 ( 10 ) 1626 - 1643 2006年04月

Establishing iISS property of interconnected systems via　parametrization of supply rates 査読有り

伊藤　博

The 44th IEEE Conf. Decision Control and European Control Conference 2005 5650 - 5655 2005年12月

Parametrization of supply rates for establishing ISS and prescribed dissipative properties of nonlinear interconnected systems 査読有り

伊藤　博

The 16th IFAC World Congress TuM22TO/1.1 - TuM22TO/1.6 2005年07月

A parametrization of supply rates for small-gain conditions for global stability of interconnected iISS and ISS systems 査読有り

伊藤　博

2005 American Control Conference 4137 - 4142 2005年06月

Explicit solutions to state-dependent scaling problems for interconnected iISS and ISS nonlinear systems 査読有り

伊藤　博

2005 American Control Conference 4136 - 4136 2005年06月

Nonlinear generalization of scaled control: global robustification against nonlinearly bounded uncertainties 査読有り

伊藤　博

International Journal of Robust and Nonlinear Control 14 ( 18 ) 1433 - 1467 2004年12月

Recursive scaling design for robust global nonlinear stabilization via output feedback 査読有り

Hiroshi Ito,Miroslav Krstic

International Journal of Robust and Nonlinear Control 10 ( 10 ) 821 - 848 2004年10月

Robust global stabilization of the Kuramoto-Sivashinsky equation using scaling technique 査読有り

Rathinasamy Sakthivel,Hiroshi Ito

The 6th IFAC Symposium on Nonlinear Control Systems 281 - 286 2004年09月

Dissipative control with dead zones for biological wastewater treatment plants: efficient coordination of entire process 査読有り

伊藤　博

The 8th IFAC Workshop on Adaptation and Learning in Control and　Signal Processing 111 - 116 2004年09月

Robust disturbance attenuation of nonlinear systems using output feedback and state-dependent scaling 査読有り

Hiroshi Ito

Automatica 40 ( 9 ) 1621 - 1628 2004年09月

A reduced-order controller design for nonlinear systems with uncertainties and disturbances 査読有り

伊藤　博

European Journal of Control 10 ( 3 ) 207 - 227 2004年08月

Analysis of global asymptotic stability of interconnected nonlinear　systems using state-dependent scaling 査読有り

伊藤　博

The 10th IFAC Symposium on Large Scale Systems 1 77 - 82 2004年07月

Dissipative design of control and on-line estimation for biological wastewater treatment plants based on entire nonlinear models 査読有り

伊藤　博

The 10th IFAC Symposium on IFAC Large Scale Systems 1 427 - 433 2004年07月

Stability criteria for interconnected iISS systems and ISS systems using scaling of supply rates 査読有り

伊藤　博

2004 American Control Conference 1055 - 1060 2004年07月

A dissipative approach to control of biological wastewater treatment plants based on entire nonlinear process models 査読有り

伊藤　博

2004 American Control Conference 5489 - 5495 2004年07月

Scaling supply rates of ISS systems for stability of feedback interconnected nonlinear systems 査読有り

伊藤　博

The 42nd IEEE Conf. Decision Control 5074 - 5079 2003年12月

非線形的な安定性によるシステムの特徴付け -- Input-to-State Stabilityの概念と応用 --

伊藤博

計測と制御 ( 計測自動制御学会 ) 42 ( 10 ) 789 - 795 2003年10月

A constructive proof of ISS small-gain theorem using generalized scaling 査読有り

伊藤　博

The 41th IEEE Conf. Decision Control 2286 - 2291 2002年12月

State-dependent scaling characterization of stability and performance for nonlinear interconnected systems 査読有り

伊藤　博

The 41th IEEE Conf. Decision Control 3937 - 3943 2002年12月

Effectiveness of multirate input control in deadbeat servomechanism 査読有り

伊藤　博

European Journal of Control 8 ( 4 ) 326 - 342 2002年08月

Uniting local and global controllers for uncertain nonlinear systems: beyond global inverse optimality 査読有り

Hiroshi Ito,Randy A. Freeman

Systems & Control Letters 45 ( 1 ) 59 - 79 2002年07月

Reduced-order partial-state feedback for robust nonlinear control using state-dependent scaling 査読有り

伊藤　博

2002 American Control Conference 3492 - 3497 2002年05月

Output feedback disturbance attenuation with robustness to nonlinear uncertain dynamics via state-dependent scaling 査読有り

Hiroshi Ito,Zhong-Ping Jiang

The 40th IEEE Conf. Decision Control 2772 - 2777 2001年12月

New characterization and solution of input-to-state stabilization: a state-dependent scaling approach 査読有り

伊藤　博

Automatica 37 ( 10 ) 1663 - 1670 2001年10月

State-dependent scaling approach to global control of interconnected nonlinear dynamic systems 査読有り

伊藤　博

2001 American Control Conference 3654 - 3659 2001年06月

State-dependent scaling design for a unified approach to robust backstepping 査読有り

Hiroshi Ito,Randy A. Freeman

Automatica 37 ( 6 ) 843 - 855 2001年06月

New state-dependent scaling for uncertain dynamics: nonlinear global stabilization and performance 査読有り

伊藤　博

The 39th IEEE Conf. Decision Control 3519 - 3525 2000年12月

A unified characterization and solution of input-to-state stabilization via state-dependent scaling 査読有り

伊藤　博

The 39th IEEE Conf. Decision Control 3513 - 3518 2000年12月

Improvement of deadbeat servomechanism using multirate input control 査読有り

伊藤　博

2000 American Control Conference 169 - 174 2000年06月

Recursive state-dependent scaling design of robust output feedback control for global stabilization 査読有り

Hiroshi ITO,Miroslav KRSTIC

The 38th IEEE Conf. Decision Control 848 - 854 1999年12月

Reduced-order and static partial-state feedback for robust blobal nonlinear stabilization via state-dependent scaling 査読有り

伊藤　博

The 38th IEEE Conf. Decision Control 298 - 304 1999年12月

Generalized state-dependent scaling: Backstepping for local optimality, global inverse optimality, and global robust stability 査読有り

Hiroshi ITO and Randy A. FREEMAN

European Control Conference AP8-6pages 1999年09月

Qualitative analysis of worst-case performance for general deterministically nonsynchronous controllers 査読有り

伊藤　博

European Control Conference BP6-6pages 1999年09月

マルチレート有限時間整定サーボ系

伊藤博

計測と制御 ( 計測自動制御学会 ) 38 ( 9 ) 559 - 564 1999年09月

A new look at robust backstepping through state-dependent scaling design 査読有り

Hiroshi ITO,Randy A. FREEMAN

American Control Conference 11 - 16 1999年06月

Region maximization technique in robust nonlinear control via state-dependent scaling design 査読有り

伊藤　博

American Control Conference 1390 - 1394 1999年06月

Local stability and performance robustness of nonlinear systems with structured uncertainty 査読有り

伊藤　博

IEEE Trans. Automatic Control 44 ( 6 ) 1250 - 1254 1999年06月

State-dependent scaling for robust nonlinear control : Techniques and effectiveness (単著) 査読有り

伊藤　博

The 37th IEEE Conf. Decision Control 4111 - 4114 1998年04月

Lp analysis of nonsynchronous multirate sampled-data systems : Continuity property and robustness 査読有り

未入力

1998 American Control Conference 3714 - 3718 1998年04月

Semi-global robust nonlinear control : state-dependent scaling and computational aspects (単著) 査読有り

伊藤　博

1998 American Control Conference 1663 - 1668 1998年04月

Overlapping decomposition for multirate decentralized control (単著) 査読有り

伊藤　博

IFAC Large Scale Systems 259 - 264 1998年04月

Analysis of local performance robustness nonlinear systems with structured uncertainty 査読有り

未入力

European Control Conference 1997 TH - E-A5 1997年04月

Continuity property of worst-case performance measure of nonsynchronous multirate systems (単著) 査読有り

伊藤　博

未入力 301 - 306 1997年04月

A unifed convex characterization of semi-global robust nonlinear control : Valid region and state-dependent scaling (単著) 査読有り

伊藤　博

未入力 161 - 166 1997年04月

多周期制御装置による制御性能の向上:有限整定サーボ系査読有り

未入力

第26回制御理論シンポジウム 67 - 70 1997年04月

マルチレートサンプル値制御器による周波数分離追従制御系の設計査読有り

未入力

第36回計測自動制御学会学術講演会 131 - 1324 1997年04月

Worst-case peformance and stability of multirate sampled-data systems with asynchronous decentralized controllers (単著) 査読有り

伊藤　博

1997 American Control Conference 778 - 783 1997年04月

Robustness analysis of local stability and performance for nonlinear systems 査読有り

未入力

未入力 349 - 354 1996年04月

An approach to robust control of sampled-data systems having finite-dimensional LTI and parametric uncertainties(単著) 査読有り

伊藤　博

The 35th IEEE Conf. Decision Control 921 - 924 1996年04月

An approach to multirate control design with multiple objectives 査読有り

未入力

IFAC 13th World Congress C 325 - 330 1996年04月

Small gain and scaling for stability and performance robustness of nonlinear systems(単著) 査読有り

伊藤　博

The 35th IEEE Conf. Decision Control 313 - 314 1996年04月

Robust control design with overlapping decomposition and multirate controller(単著) 査読有り

伊藤　博

The 35th IEEE Conf. Decision Control 15 - 20 1996年04月

Robust multirate control with overlapping decompositions(単著)

伊藤　博

未入力 63 - 64 1996年04月

Robust control for nonlinear systems with structured L2-gain bounded Systems&Control Letters, uncertainty(単著)

伊藤　博

未入力 1996年04月

Robust performance design via nonlinear H∞ control with scaling factors

未入力

未入力 32 ( 6 ) 975 - 977 1996年04月

Analysis and synthesis of asynchronous sampled-data control for large-scale systems(単著)

伊藤　博

未入力 29 - 34 1996年04月

On robust sampled-data control of plants with finite-dimensional LTI and parametric uncertainties(単著)

伊藤　博

未入力 99 - 104 1996年04月

同時H∞制御器の一設計法

未入力

第35回計測自動制御学会学術講演会 73 - 74 1996年04月

入力多重状態フィードバックによる有限整定制御系の設計

未入力

第35回計測自動制御学会学術講演会 807 - 808 1996年04月

Robust Performance of decentralized control systems by expanding sequential designs 査読有り

未入力

Internationaol Journal of Control 61 ( 6 ) 1297 - 1311 1995年04月

Analysis of robust performance with multiple objectives 査読有り

未入力

Systems & Control Letters 25 141 - 149 1995年04月

A methodology for multiple objective control design with robust performance 査読有り

未入力

31,8,1089-1097 1995年04月

A subsystem design approach to continuous-time performance of decentralized multirate sampled-data systems 査読有り

未入力

International Journal of Systems Science 26 ( 6 ) 1263 - 1287 1995年04月

Robust performance by nonlinear H∞ control with scaling parameters 査読有り

未入力

The 3rd European Control Conference 687 - 692 1995年04月

A design of stable H∞ controller 査読有り

未入力

The 3rd European Control Conference,,1830-1833 1995年04月

Robust control of large-scale systems with overlapping decomposition and multirate controller 査読有り

未入力

未入力 181 - 186 1995年04月

Small gain condition with state-dependent scaling factors for robust nonlinear control 査読有り

未入力

未入力 309 - 314 1995年04月

A multiobjective approach to multirate sampled-data control design 査読有り

未入力

未入力 75 - 80 1995年04月

Nonlinear H∞ control for robust performance against L2-gain bounded perturbations(単著)

伊藤　博

未入力 123 - 126 1995年04月

Exact model matching scheme for the finite volterra series systems 査読有り

未入力

IEEE Conference on Decision and Control 1794 - 1796 1994年04月

Stability analysis of multirate sampled-data control systems 査読有り

未入力

IMA J. of Mathematical Control and Information 11 341 - 354 1994年04月

A subsystem design approach to continuous-time input-output per-forename of decentralized multirate sampled-data systems 査読有り

未入力

IEE International Conference CONTROL'94 1023 - 1028 1994年04月

Linearizing control of nonlinear systems by sampled-data output feedback 査読有り

未入力

未入力 211 - 216 1994年04月

Robust performance by nonlinear H∞ control with constant scaling factors 査読有り

未入力

未入力 121 - 124 1994年04月

サンプル値制御系に対する二目的制御器の設計

未入力

第33回計測自動制御学会学術講演会 243 - 244 1994年04月

安定なH∞制御器の一設計法

未入力

第33回計測自動制御学会学術講演会 387 - 388 1994年04月

Stability and performance robustness in control system design

伊藤　博

未入力 1994年04月

On sequential stabilization of decentralized systems using structured singular value 査読有り

未入力

IFAC 12th World Congress 2 53 - 58 1993年04月

Design of stable controllers attaining low H∞ weighted sensitivity 査読有り

未入力

IEEE Trans. on Automatic Control 38 ( 3 ) 485 - 488 1993年04月

サンプル点間を考慮した多周期サンプル値分散制御器のサブシステム設計法査読有り

未入力

第22回制御理論シンポジウム 303 - 308 1993年04月

ロバストパフォーマンスを実現する多周期ディジタル分散制御器のサブシステム設計法査読有り

未入力

第22回制御理論シンポジウム 297 - 302 1993年04月

μ-analysis with two performance objectives and its application to controller reduction 査読有り

未入力

Systems and Networks : Mathematical Theory and Applications II, Akademie Verlag 257 - 260 1993年04月

Input-output stability and robust stability of multirate sampled data systems 査読有り

未入力

IMA Journal of Mathematical Control and Information 341 - 346 1993年04月

Robust performance with multiple objectives and an approach to control design 査読有り

未入力

未入力 137 - 142 1993年04月

μ-analysis with multiple performance objectives and its application to controller reduction

未入力

未入力 75 - 80 1993年04月

サンプル値制御系のロバスト安定性を考慮したディジタル制御器の低次元化

未入力

第32回計測自動制御学会学術講演会 525 - 526 1993年04月

ロバストパフォーマンスを実現する分散型制御系の逐次的設計法査読有り

未入力

第31回計測自動制御学会学術講演会 569 - 570 1992年04月

低感度特性を満たす安定な補償器の一設計法査読有り

未入力

計測自動制御学会論文集 28 ( 3 ) 412 - 414 1992年04月

干渉強度を考慮したロバストな分散型制御器の一設計法査読有り

未入力

第21回制御理論シンポジウム 207 - 212 1992年04月

Robust performance of decentralized control systems by sequential designs 査読有り

未入力

IEEE Conference on Decision and Control 1333 - 1339 1992年04月

μ制御器の低次元化における次数評価

未入力

第31回計測自動制御学会学術講演会 593 - 594 1992年04月

構造化特異値を用いた分散制御系の逐次安定化手法について

未入力

第35回自動制御連合講演会 153 - 156 1992年04月

固定補賞要素を含む直接法MRACSのロバスト設計法査読有り

未入力

計測自動制御学会論文集 27 ( 6 ) 720 - 722 1991年04月

同時ロバスト安定化問題の一解法査読有り

未入力

第20回制御理論シンポジウム 33 - 40 1991年04月

A design of low sensitivity system using stable controller 査読有り

未入力

The 1st European Control Conference 693 - 698 1991年04月

安定な補償器を用いたH∞制御問題の一解法

未入力

第30回計測自動制御学会学術講演会 491 - 492 1991年04月

低感度特性を満たす安定な補償器の一設計法査読有り

未入力

第19回制御理論シンポジウム 253 - 285 1990年04月

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