个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:东北大学
学位:博士
所在单位:控制科学与工程学院
学科:控制理论与控制工程
办公地点:创新园大厦A622房间
电子邮箱:sunxm@dlut.edu.cn
Stabilization of a Class of Switched Stochastic Systems with Time Delays Under Asynchronous Switching
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论文类型:期刊论文
发表时间:2013-02-01
发表刊物:CIRCUITS SYSTEMS AND SIGNAL PROCESSING
收录刊物:SCIE、EI、Scopus
卷号:32
期号:1
页面范围:347-360
ISSN号:0278-081X
关键字:Switched stochastic systems; Asynchronous switching; Mean-square exponential stability; Average dwell time (ADT)
摘要: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.