期刊论文

Wang, Yue-E

Wang, YE (reprint author), Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China.

Sun, Xi-Ming,Zhao, Jun

2013-02-01

CIRCUITS SYSTEMS AND SIGNAL PROCESSING

SCIE、EI、Scopus

J

32

1

347-360

0278-081X

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

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.