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Delay-dependent stabilization for stochastic fuzzy systems with time delays. (English) Zbl 1122.93051
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:
 93C42 Fuzzy control/observation systems 93E03 Stochastic systems in control theory (general) 93E15 Stochastic stability in control theory
LMI toolbox
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