Finite \({\mathcal L}_2\)-induced gain and \(\lambda \)-contractivity of discrete-time switching systems including modal nonlinearities and actuator saturations

DOI10.1016/j.nahs.2010.10.010zbMath1225.93061OpenAlexW1976148074MaRDI QIDQ547909

Sophie Tarbouriech, Jamal Daafouz, Marc Jungers, Eugênio B. Castelan

Publication date: 27 June 2011

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2010.10.010

zbMATH Keywords

nonlinear systemsswitching systemsLMIsswitching Lyapunov functions\({\mathcal L}_2\)-induced gainsaturations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (7)

Exponential stabilization for a class of nonlinear switched systems with mixed delays under asynchronous switching ⋮ Sliding mode control of Lur'e nonlinear switched systems under dynamic schedule protocol ⋮ Gain-scheduled output control design for a class of discrete-time nonlinear systems with saturating actuators ⋮ Stochastic stabilization and induced \(\ell_2\)-gain for discrete-time Markov jump Lur'e systems with control saturation ⋮ MIN-switching local stabilization for discrete-time switching systems with nonlinear modes ⋮ Stability analysis and stabilisation of switched nonlinear systems ⋮ Reduced order dynamic controller synthesis conditions for LPV periodic discrete-time systems subject to input saturation

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