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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On input-to-state stability of stochastic retarded systems with Markovian switching [PDF]
, 2009 This note develops a Razumikhin-type theorem on pth moment input-to-state stability of hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), which is an improvement of an existing result.
Huang, Lirong, Mao, Xuerong
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Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing [PDF]
, 2021 We prove (integral) input-to-state stability results for a class of forced Lur’e differential inclusions and use them to investigate incremental (integral) input-to-state stability properties of Lur’e differential equations.
Logemann, Hartmut +2 more
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The exponential input-to-state stability property: characterisations and feedback connections [PDF]
, 2023 The exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov ...
Chris Guiver +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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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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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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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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