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		Yan ZHAO,Ping ZHAO.[en_title][J].Control Theory and Technology,2013,11(1):092~095.[Copy]

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YanZHAO,PingZHAO
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(School of Mathematical Sciences, University of Jinan;School of Electrical Engineering, University of Jinan)

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Received:June 11, 2011Revised:May 02, 2012

基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60904024, 61074021), the Shandong Province Natural Science Foundation for Distinguished Young Scholars (No. JQ201119), and the Doctoral Foundation of University of Jinan (No. XBS1012).

Practical $\phi_{0}$-stability of switched stochastic nonlinear systems and corresponding stochastic perturbation theory

Yan ZHAO,Ping ZHAO

(School of Mathematical Sciences, University of Jinan;School of Electrical Engineering, University of Jinan)

Abstract:

The aim of this paper is to study the practical $\phi_{0}$-stability in probability (P$\phi_{0}$SiP) and practical $\phi_{0}$-stability in pth mean (P$\phi_{0}$SpM) of switched stochastic nonlinear systems. Sufficient conditions on such practical properties are obtained by using the comparison principle and the cone-valued Lyapunov function methods. Also, based on an extended comparison principle, a perturbation theory of switched stochastic systems is given.

Key words: Stochastic nonlinear system Practical φ0-stability Comparison principle Lyapunov function Perturbed