Stability and convergence of perturbed switched linear time-delay systems

Abstract

We address the issue of stability and convergence of perturbed switched linear time-delay systems. By introducing the variation-of-constants formula, the conditions of the stability and convergence of perturbed switched linear systems with time-delay are established, and the difficulties caused by the interaction between the switchings and time-delay are conquered. Based on the general result of perturbed switched linear time-delay systems, under two different switching schemes, new delay dependent and independent stability criteria for switched linear systems with time-delay are developed. The numerical examples show feasibility and validity of the results.