The new stability criteria of discrete-time switched systems with an improved mode dependent average dwell time approach

摘要

This paper investigates the stability analysis of discrete-time switched systems with two subsystems (DSTSs). By the modified mode-dependent average dwell time (MDADT) approach, new stability criteria of DSTSs are obtained in both nonlinear and linear contexts, which are less conservative and more applicable in practice than those existing results. The design of stabilizing controller for linear DSTSs also is addressed by using LMIs. At last, three numerical examples with some comparisons to the existing results are involved to illustrate the superiority of the results in the paper.