Stability analysis for discrete-time switched linear singular systems: average dwell time approach

Abstract

This paper investigates the stability analysis problem for discrete-time switched linear singular systems, in which the restrictions on singular matrices are removed. By identifying the state jumps at switching instants, and estimating the state norm of each subsystem consistently, an average dwell time approach is developed to solve the exponential stability problem. Numerical examples are given to illustrate the benefits and effectiveness of the obtained result.