Delay-dependent stabilization for stochastic delayed fuzzy systems with impulsive effects

This paper investigates the problem of stabilization for a class of stochastic delayed Takagi-Sugeno (T-S) fuzzy systems with impulsive effects. The time delay is assumed to appear both in the state and control input. The purpose is design of a state-feedback fuzzy controller such that the resulting closed-loop system is exponentially stable in the mean square. By means of Lyapunov-Krasovskii functional, the relaxed LMI approach and mathematical analysis technique, delaydependent sufficient conditions for solvability of this problem are obtained in terms of linear matrix inequalities (LMIs). Finally, a simulation example is given to demonstrate effectiveness and applicability of the theoretical results.