New results on stability of fuzzy time-varying delayed systems

This paper is concerned with analyzing stability of Takagi-Sugeno (T-S) fuzzy systems with timevarying delay. A Lyapunov functional with triple integral terms is constructed. The Wirtinger-based integral inequality in conjunction with the improved reciprocally convex combination technique is applied to obtain some sufficient conditions that ensure asymptotic stability of TS fuzzy time-varying delayed systems. It is demonstrated that the new stability condition is less conservative than the existing results for such fuzzy systems. The theoretical findings are substantiated with a numerical example.