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- Title
Passivity Analysis and Synthesis for a Class of Discrete-Time Switched Stochastic Systems with Time-Varying Delay.
- Authors
Lian, Jie; Feng, Zhi
- 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.
- Subjects
PASSIVITY (Engineering); AUTOMATIC control systems; DISCRETE-time systems; LYAPUNOV functions; MATRIX inequalities
- Publication
Asian Journal of Control, 2013, Vol 15, Issue 2, p501
- ISSN
1561-8625
- Publication type
Article
- DOI
10.1002/asjc.530