Delay-dependent criteria for stability analysis and stabilization problems of discrete impulsive switched systems with average dwell time

Abstract

The stability and stabilization problems of discrete impulsive switched systems by using average dwell time method is investigated in this paper. The switching is designed with average dwell time method. The systems are with time invariant delays and norm-bounded parameter uncertainty. Using linear matrix inequality techniques (LMI) and Lyapunov- Krasovskii function method, a few delay-dependent conditions confining to the given average dwell time for ensuring robustly asymptotic stability and stabilization are derived. Finally, we give Some numerical examples in order to Verify the conclusions.