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Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems

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Indexed by:期刊论文

Date of Publication:2013-02-01

Journal:IEEE TRANSACTIONS ON CYBERNETICS

Included Journals:SCIE、EI、ESI高被引论文、Scopus

Volume:43

Issue:1

Page Number:3-13

ISSN No.: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.

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