Title :
Practical φ0-stability of switched stochastic nonlinear systems and corresponding stochastic perturbation theory
Author :
Zhao Yan ; Zhao Ping
Author_Institution :
Sch. of Math., Univ. of Jinan, Jinan, China
Abstract :
The aim of this paper is to study the practical φ0-stability in probability(Pφ0SiP) and practical φ0-stability in pth mean(Pφ0SpM) 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. Besides, based on an extended comparison principle, a perturbation theory of switched stochastic systems is given.
Keywords :
Lyapunov methods; nonlinear control systems; nonlinear dynamical systems; perturbation theory; probability; stability; stochastic systems; φ0-stability; Stochastic Perturbation Theory; cone-valued Lyapunov function methods; extended comparison principle; pth mean; switched stochastic nonlinear systems; Asymptotic stability; Lyapunov methods; Nonlinear systems; Stability analysis; Stochastic systems; Switched systems; Switches; Comparison principle; Lyapunov function; Perturbed system; Practical φ0-stability; Stochastic nonlinear system;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
