State convergence property of perturbed switched linear time-delay systems

The issue of state convergence property for perturbed switched linear time-delay systems is explored. By introducing the variation-of-constants formula, the conditions for state convergence property of perturbed switched linear time-delay systems are established, and the difficulties caused by the interactions between the switchings and the time delay are alleviated. 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 derived. Two numerical examples along with the respective simulation results are given to demonstrate feasibility and validity of the theoretical results.