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Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching. (English) Zbl 1232.93093

Summary: This paper is concerned with the problem of robust reliable control for a class of uncertain stochastic switched nonlinear systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system. A design scheme for the reliable controller is proposed to guarantee almost surely exponential stability for stochastic switched systems with actuator failures, and the dwell time approach is utilized for the stability analysis. Then the approach is extended to take into account stochastic switched systems with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is employed to verify the proposed method.

MSC:

93E15 Stochastic stability in control theory
93D15 Stabilization of systems by feedback
93E03 Stochastic systems in control theory (general)
93C10 Nonlinear systems in control theory
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