A SWITCHING RULE FOR THE ASYMPTOTIC STABILITY OF DISCRETE-TIME SYSTEMS WITH CONVEX POLYTOPIC UNCERTAINTIES

Abstract

This paper addresses the stability for a class of linear delay-difference equations with interval time-varying delays. Based on the parameter-dependent Lyapunov–Krasovskii functional, new delay-dependent conditions for the stability are established in terms of linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of our results.