Delay-Dependent Robust H-Infinity Stability for Uncertain Discrete-Time Singular System

This paper investigates the problem of delay-dependent robust H-infinity stability for uncertain discrete-time singular systems with state delay. The considered systems are not necessarily assumed to be regular and causal. In terms of linear matrix inequality (LMI) approach, a delay-dependent stabilizable criterion is given to ensure the nominal system to be regular, causal and stable. Based on the criterion, the robust H-infinity stabilizable condition for uncertain discrete-time singular time-delay system is obtained. Some numerical examples are provided to demonstrate the efficiency and less conservation of the proposed methods in this paper.