On input-to-state-stability and integral input-to-state-stability for parabolic boundary control systems [PDF]
2016 IEEE 55th Conference on Decision and Control (CDC), 2016 This work contributes to the recently intensified study of input-to-state stability for infinite-dimensional systems. The focus is laid on the relation between input-to-state stability and integral input-to-state stability for linear systems with a possibly unbounded control operator.
Jacob, B +3 more
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Input-to-State Stability and Stabilization of Nonlinear Impulsive Positive Systems
Mathematics, 2021 This paper focuses on the problems of input-to-state stability (ISS) and stabilization for nonlinear impulsive positive systems (NIPS). Using the max-separable ISS Lyapunov function method, a sufficient condition on ISS is given for general NIPS. On that
Yiqing Xue, Ping Zhao
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Lyapunov Functions for State Observers of Dynamic Systems Using Hamilton–Jacobi Inequalities
Mathematics, 2020 Lyapunov functions enable analyzing the stability of dynamic systems described by ordinary differential equations without finding the solution of such equations. For nonlinear systems, devising a Lyapunov function is not an easy task to solve in general.
Angelo Alessandri
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Practical Input-to-State Stability of Nonlinear Systems with Time Delay
Complexity, 2023 An investigation of the input-to-state practical stability (ISpS) and the integral input-to-state practical stability (iISpS) of nonlinear systems with time delays (NSWTDs) is presented in this paper.
Abdellatif Ben Makhlouf +3 more
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Switching Delay Effects on Input-to-State Stability of Switched Systems
Discrete Dynamics in Nature and Society, 2023 In this paper, input-to-state stability (ISS) is investigated for a class of nonlinear switched systems with time-varying switching delay, in which both ISS and non-ISS subsystems are considered simultaneously.
Yuanyuan Jia +2 more
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Impulsive Input-to-State Stabilization of an Ensemble
Set-Valued and Variational Analysis, 2023 AbstractWe consider an ensemble of trajectories generated by a linear differential equation subjected to disturbance and parameterized by the initial state. The scalar output of the system is the volume comprised by the states of the whole ensemble. Already the unperturbed dynamics is assumed to be unstable.
Atamas, Ivan +2 more
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Determining input‐to‐state and incremental input‐to‐state stability of nonpolynomial systems [PDF]
International Journal of Robust and Nonlinear Control, 2020 SummaryIn this study, we propose constructive ways to determine input‐to‐state stability (ISS) as well as incremental ISS (δISS) of nonpolynomial dynamical systems. The developed procedures are based on sums‐of‐square decomposition. This tool is only applicable to polynomial systems.
Rick Voßwinkel, Klaus Röbenack
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Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form [PDF]
, 2005 Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed.
Laila, D. S. +5 more
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Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity
Axioms, 2021 In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant manufacturing system.
Simone Göttlich +2 more
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On Input-to-State Stability of Impulsive Systems [PDF]
Proceedings of the 44th IEEE Conference on Decision and Control, 2006 This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for systems with impulsive effects. We provide a set of Lyapunov-based sufficient conditions to establish these properties. When the continuous dynamics are stabilizing but the impulsive effects are destabilizing, the impulses should not occur too frequently ...
João P. Hespanha 0001 +2 more
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