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Practical ϕ 0-stability of switched stochastic nonlinear systems and corresponding stochastic perturbation theory

Practical ϕ 0-stability of switched stochastic nonlinear systems and corresponding stochastic perturbation theory

ISSN:1672-6340
2013年第11卷第1期
Yan ZHAO,Ping ZHAO Yan Zhao1,Ping Zhao2

The aim of this paper is to study the practical ф0 -stability in probability (Pф0 SiP) and practical ф0 -stability in pth mean (Pф0 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.

The aim of this paper is to study the practical ? 0-stability in probability (P? 0SiP) and practical ? 0-stability in pth mean (P? 0SpM) 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.

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ISSN:1672-6340
2013年第11卷第1期

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