Stability analysis and stabilization for discrete-time singular delay systems

Stability analysis and stabilization for discrete-time singular delay systems are addressed, respectively. Firstly, a sufficient condition for regularity, causality and stability for discrete-time singular delay systems is derived. Then, by applying the skill of matrix theory, the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular, casual and stable. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method.