A novel relaxed stabilization condition for a class of T-S time-delay fuzzy systems

In this paper, the relaxed delay-dependent stabilization problem for a class of Takagi and Sugeno (T-S) fuzzy time-delay systems is explored. By utilizing homogeneous polynomials scheme, Polya´s theorem and some slack matrices, a novel relaxed stabilization condition for a class of T-S fuzzy time-delay systems is proposed in terms of a linear matrix inequalities (LMIs). Finally, an example is given to demonstrate that the proposed stabilization condition can provide a longer allowable delay time than some existing studies.