Critria for robust stability of discrete-time dynamic interval systems with multiple time-delays

Abstract

In this paper, the sufficient conditions of the robust stability for a class of discrete-time dynamic interval systems with multiple time-delays are obtained using the Lyapunov stability theory and some properties of spectral radius. Using the decomposition of matrix, a kind of equivalent description of the discrete-time dynamic interval systems is presented. Numerical examples have been given to illustrate the effectiveness of the proposed results. Some previously known results are generalized.