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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 |

### Keywords:

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

LMI toolbox
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\textit{B. Zhang} et al., Fuzzy Sets Syst. 158, No. 20, 2238--2250 (2007; Zbl 1122.93051)

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### References:

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