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Indexed by:期刊论文

Date of Publication:2013-02-01

Journal:CIRCUITS SYSTEMS AND SIGNAL PROCESSING

Included Journals:SCIE、EI、Scopus

Volume:32

Issue:1

Page Number:347-360

ISSN No.:0278-081X

Key Words:Switched stochastic systems; Asynchronous switching; Mean-square exponential stability; Average dwell time (ADT)

Abstract:This paper addresses stabilization problem for a class of switched stochastic systems with time delays by using piecewise Lyapunov-Krasovskii functional method. Asynchronous switching means the switching of the controller has a time delay to the switching of the system. We provide a set of Lyapunov-Krasovskii-type sufficient conditions for establishing the mean-square exponential stability. The mean-square exponential stability condition for the resulting closed-loop system is firstly derived by further allowing the Lyapunov-Krasovskii functional to increase during the running time of the active subsystem with the mismatched controller. Then, the corresponding solvability condition for stabilizing controllers is established. Finally, we present an example to show the effectiveness of the developed theory.