Abstract

The problem of asymptotic stability analysis for a class of stochastic Takagi-Sugeno fuzzy systems with time varying delays is investigated. By employing improved free weighting matrix approach and Lyapunov stability theory, new set of sufficient conditions are derived in terms of linear matrix inequalities which ensure the asymptotic stability of the considered stochastic fuzzy system with time varying delays. Further the result is extended to the delay independent that is, for constant time delay case. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results.

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