Delay-dependent Robust Stabilization for Discrete-time Singular Systems with Time-varying Delays

The robust stabilization via state feedback for time-varying delays discrete-time singular systems with parameter uncertainties is discussed.Under a series of equivalent transformation,the equivalence between this problem and the robust stabilization via state feedback for uncertain standard state-space discrete-time linear systems with time-varying delays is obtained.In terms of matrix inequality,the delay-dependent sufficient condition is presented so that there exists a robust state feedback stabilizing controller making the closed-loop system is regular,causal and stable for all admissible uncertainties.The memoryless state feedback controller is given.