New approaches for stability and stabilization analysis of a class of nonlinear discrete time-delay models

In this paper the relaxed stability conditions and the design of stabilization controller for discrete Takagi-Sugeno fuzzy time-delay model are considered through a new approach using specific Lyapunovpsilas functions. Firstly, we give some relaxed sufficient conditions for stability of discrete T-S time-delay model via LMIs. Secondly, we consider the problems of stabilization for such models in two different cases, whether the time-delay is known or unknown. All the presented results outperform previous ones found in the literature and several examples are presented to illustrate the effectiveness of the method.