Input-to-state stability of switched nonlinear delay systems based on a novel Lyapunov-Krasovskii functional method

DOI10.1007/s11424-018-6237-6zbMath1401.93184OpenAlexW2792303512MaRDI QIDQ1621175

Haijuan Zhao, Guangdeng Zong

Publication date: 8 November 2018

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-018-6237-6

zbMATH Keywords

input-to-state stabilityLyapunov-Krasovskii functionalasynchronous switchingaverage dwell timeswitched delay system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (9)

Interval type-2 fuzzy passive filtering for nonlinear singularly perturbed PDT-switched systems and its application ⋮ New Lyapunov-Krasovskii functional for stability analysis of linear systems with time-varying delay ⋮ Finite-time stability for interval type-2 fuzzy nonlinear systems via an observer-based sliding mode control ⋮ Finite‐time integral input‐to‐state stability for switched nonlinear time‐delay systems with asynchronous switching ⋮ Stabilisation of semi-Markovian jump stochastic systems via asynchronous switching control ⋮ Stability analysis for hybrid deterministic system under delay-dependent impulses uniting properties of edges ⋮ Asynchronous \(H_\infty\) fixed-order filtering for LPV switched delay systems with mode-dependent average dwell time ⋮ State estimation for switched time-varying systems with delay and nonlinear disturbance: an integral inequality method ⋮ Adaptive neural control with prespecified tracking accuracy for a class of switched systems subject to input delay

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