Delay-dependent criteria for stability analysis and synthesis of discrete impulsive switched systems with time delays and uncertainty

Abstract

In this paper, stability analysis and the stabilization problem are investigated for discrete impulsive switched systems with norm-bounded parameter uncertainty and time-invariant delays. Based on Lyapunov-Krasovskii function and linear matrix inequality (LMI) techniques, some delay-dependent criteria on asymptotic stability are established. A stabilization condition using a feedback controller is formulated to stabilize the closed-loop system. Some numerical examples are given to illustrate the main results.