Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-03-01

Journal: ASIAN JOURNAL OF CONTROL

Included Journals: Scopus、EI、SCIE

Volume: 15

Issue: 2

Page Number: 501-511

ISSN: 1561-8625

Key Words: Passivity; passification; switched systems; average dwell time approach

Abstract: This paper deals with the problems of passivity and passification for a class of discrete-time switched stochastic systems with time-varying delay. Based on the average dwell time approach, the piecewise Lyapunov function technique, and the free-weighting matrix method, a new Lyapunov functional is proposed and sufficient conditions for mean-square exponential stability and stochastic passivity are developed under average dwell time switching. Moreover, an estimate of state decay can be calculated in terms of linear matrix inequalities (LMIs). Then, the solvability condition for passification is established and the corresponding controller is designed. Two numerical examples are given to show the effectiveness of the proposed methods.