Stability analysis and uniform ultimate boundedness control synthesis for a class of nonlinear switched difference systems

DOI10.1080/10236198.2011.581665zbMath1263.93190OpenAlexW1963679233MaRDI QIDQ3165734

Liguo Zhang, Yangzhou Chen, Alexander Yurjevich Aleksandrov, Aleksey Victorovich Platonov

Publication date: 19 October 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.581665

zbMATH Keywords

stability analysisrobust controlasymptotic stabilityLyapunov functionspopulation dynamicsHankel operatorsuniform ultimate boundednessswitching lawswitched difference systemslinear matrix inequality type stability conditionsnonlinear switched discrete-time systemstime-varying systeml

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20) Stability theory for difference equations (39A30)

Related Items (13)

Absolute exponential stability of switched nonlinear time-delay systems; linear programming ⋮ On stability of solutions for a class of nonlinear difference systems with switching ⋮ Delay-independent stability conditions for a class of nonlinear difference systems ⋮ Point-to-ellipse and point-to-ellipsoid distance equation analysis ⋮ On analysis of Persidskii systems and their implementations using LMIs ⋮ Non-fragile hybrid-triggered control of networked positive switched systems with cyber attacks ⋮ Conditions of the Stability Preservation Under Discretization of a Class of Nonlinear Time-Delay Systems ⋮ A stability criterion for switching Lur'e systems with switching-path restrictions ⋮ Absolute exponential stability and stabilization of switched nonlinear systems ⋮ Absolute exponential \(L_{1}\)-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay ⋮ On diagonal stability of positive systems with switches and delays ⋮ Saturation control of switched nonlinear systems ⋮ Convergence domain for time-varying switched systems

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