Input-to-state stability of infinite-dimensional systems: recent results and open questions

A Mironchenko, C Prieur - SIAM Review, 2020 - SIAM
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …

Input-to-state stability

A Mironchenko - Input-to-State Stability: Theory and Applications, 2023 - Springer
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[图书][B] Input-to-state stability for parabolic boundary control: linear and semilinear systems

FL Schwenninger - 2020 - Springer
Input-to-state stability (ISS) for systems described by partial differential equations has seen
intensified research activity recently, and in particular the class of boundary control systems …

A Lyapunov-based small-gain theorem for infinite networks

C Kawan, A Mironchenko, A Swikir… - … on Automatic Control, 2020 - ieeexplore.ieee.org
This article presents a small-gain theorem for networks composed of a countably infinite
number of finite-dimensional subsystems. Assuming that each subsystem is exponentially …

An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays

H Lhachemi, C Prieur, R Shorten - Automatica, 2019 - Elsevier
This paper discusses the robustness of the constant-delay predictor feedback in the case of
an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop …

Feedback stabilization of a class of diagonal infinite-dimensional systems with delay boundary control

H Lhachemi, C Prieur - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
This article studies the boundary feedback stabilization of a class of diagonal infinite-
dimensional boundary control systems. In the studied setting, the boundary control input is …

Exponential input-to-state stabilization of an ODE cascaded with a reaction–diffusion equation subject to disturbances

HW Zhang, JM Wang, JJ Gu - Automatica, 2021 - Elsevier
This paper addresses the exponential input-to-state stabilization of an ODE cascaded with a
reaction–diffusion equation subject to disturbances appearing in all channels. By applying …

Boundary feedback stabilization of a reaction–diffusion equation with Robin boundary conditions and state-delay

H Lhachemi, R Shorten - Automatica, 2020 - Elsevier
This paper discusses the boundary feedback stabilization of a reaction–diffusion equation
with Robin boundary conditions and in the presence of a time-varying state-delay. The …

Integral input-to-state stability of unbounded bilinear control systems

R Hosfeld, B Jacob, FL Schwenninger - Mathematics of Control, Signals …, 2022 - Springer
Integral input-to-state stability of unbounded bilinear control systems | Mathematics of Control,
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Generalized Lyapunov functionals for the input-to-state stability of infinite-dimensional systems

J Zheng, G Zhu - Automatica, 2025 - Elsevier
This paper addresses the input-to-state stability (ISS) of infinite-dimensional systems by
introducing a novel notion named generalized ISS-Lyapunov functional (GISS-LF) and the …