Admissibility Analysis of T-S Fuzzy singular system with time varying-delay

Abstract

This paper deals with the problem of admissibility analysis for T-S Fuzzy singular system with time-varying delay. Firstly, by constructing a novel augmented Lyapunov-Krasovskii Functional and by using the wirtinger-based inequality, sufficient conditions are established to ensure the regularity, the impulse free and the asymptotic stability of the considered system. The obtained results are developed in terms of Linear Matrix Inequalities, which provide less conservative results other some recent existing ones in the literature. Finally, numerical example is provided to demonstrate the effectiveness and the applicability of the proposed method.