Stabilization of discrete singularly perturbed systems with time-delay

This paper treats the stabilization bound problem for discrete singularly perturbed systems with time delay. Based on Lyapunov-Krasovskii functional, a state feedback stabilization control design is proposed. A new sufficient condition given as a set of Linear Matrix Inequalities(LMIs), guarantees the existence of state feedback controller and the asymptotic stability of the closed loop system. Finally, an example is given to show the advantage and the effectiveness of the obtained result.