Delay-dependent admissibility and control of discrete-time switched singular systems with time-delay

This paper is concerned with the problems of admissibility and control for a class of discrete-time switched singular systems with time-delay for arbitrary switching law. Firstly, a new delay-dependent sufficient condition is established in terms of linear matrix inequalities (LMIs) by constructing a novel Lyapunov-Krasovskii functional so that the discrete-time switched singular systems with time-delay to be regular, causal and asymptotically stable. The proposed criterion is proved to have some advantages over other existing results. Then, a state feedback controller is designed to guarantee the admissibility of the closed-loop switched singular delay system, by using the skills of matrix theory. Some slack variables are introduced for more relaxation. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed approach and to compare the obtained results with some existing ones in the literature.