Exponential stability for fuzzy time-delay systems with delayed impulses

This paper is concerned with the exponential stability problem of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The time-dependent Lyapunov function method, together with the Razumikhin technique, is utilized to develop a sufficient condition for guaranteeing exponential stability of Takagi-Sugeno fuzzy time-delay systems with delayed impulses. The new exponential stability condition is not only represented by linear matrix inequalities (LMIs) but also characterized by the lower bound and the upper bound of impulsive intervals. The workability of the theoretical results is demonstrated by an illustrative example.