Fuzzy-model-based admissibility analysis for nonlinear discrete-time descriptor system with time-delay

This paper is concerned with the admissibility analysis problems of discrete-time Takagi–Sugeno fuzzy descriptor system with time-varying delay. The upper and lower bound of time-delay is assumed to be available online. By defining new Lyapunov functions and by making use of novel technique, delay dependence condition is given for the admissibility analysis of the systems without matrix decoupling and matrix transformation. The merit of the proposed conditions lies in their less conservativeness, which is achieved by combining some bounding inequalities for cross products between two vectors. Finally, these conditions are shown to be the effectiveness via two examples.