Delay-Dependent Robust Stability Analysis and Synthesis of Uncertain Fuzzy System with Time-Varying Delays

A delay-dependent robust stability criterion for a class of uncertain T-S fuzzy systems with time-varying delays is presented in terms of linear matrix inequalities by using the Lyapunov-Krasovskii functional method. The uncertain parameters are supposed to reside in a polytope. Furthermore, a fuzzy controller is given to stabilize the uncertain fuzzy systems .in addition, the effectiveness of the proposed design method is demonstrated by a numerical example.

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