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Zbl 1232.93093
Xiang, Zhengrong; Wang, Ronghao; Chen, Qingwei
Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching. (English)
[J] Appl. Math. Comput. 217, No. 19, 7725-7736 (2011). ISSN 0096-3003

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 2000:: *93E15 Stochastic stability
93D15 Stabilization of systems by feedback
93E03 General theory of stochastic systems
93C10 Nonlinear control systems

Keywords: robust stabilization; reliable control; stochastic switched systems; asynchronous switching; almost surely exponential stability

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