Release Time:2019-03-09 Hits:
Indexed by: Journal Article
Date of Publication: 2013-02-01
Journal: IEEE TRANSACTIONS ON CYBERNETICS
Included Journals: Scopus、ESI高被引论文、EI、SCIE
Volume: 43
Issue: 1
Page Number: 3-13
ISSN: 2168-2267
Key Words: Average dwell time approach; exponential stability in mean square; passivity and passification; switched stochastic systems; time-varying delay
Abstract: This paper is concerned with the problems of passivity and passification for a class of uncertain switched systems subject to stochastic disturbance and time-varying delay. The passivity property is adopted to analyze the influence of the external disturbance on such systems to achieve prescribed attenuation levels. Based on average dwell time approach, free-weighting matrix method, and Jensen's integral inequality, delay-dependent sufficient conditions are obtained in terms of linear matrix inequalities, which ensure the uncertain switched stochastic time-delay system to be robustly mean-square exponentially stable and stochastically passive. Then, the switched passive controllers are synthesized by linearization techniques. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.