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Zbl 1122.93051
Zhang, Baoyong; Xu, Shengyuan; Zong, Guangdeng; Zou, Yun
Delay-dependent stabilization for stochastic fuzzy systems with time delays. (English)
[J] Fuzzy Sets Syst. 158, No. 20, 2238-2250 (2007). ISSN 0165-0114

Summary: This paper is concerned with the delay-dependent stabilization problem for a class of time-delay stochastic fuzzy systems. The time delays are assumed to appear in both the state and the control input. The purpose is the design of a state-feedback fuzzy controller such that the resulting closed-loop system is asymptotically stable in the mean square. A delay-dependent condition for the solvability of this problem is obtained in terms of relaxed linear matrix inequalities (LMIs). By solving these LMIs, a desired controller can be obtained. Finally, a numerical example is given to demonstrate the effectiveness of the present results.

MSC 2000:: *93C42 Fuzzy control
93E03 General theory of stochastic systems
93E15 Stochastic stability

Keywords: delay-dependent stabilization; fuzzy systems; linear matrix inequalities; stochastic systems; time delays

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