研究者詳細 - 伊藤　博

論文 - 伊藤　博

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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

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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

Scopus

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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

Scopus

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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

Scopus

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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.

Scopus

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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

Scopus

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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

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