Stability for switched systems with interval time-varying delays

The stability analysis problem for a class of continuous-time switched systems with time-delay varying in an interval is studied in this paper. By using a newly constructed Lyapunov functional and the average dwell time scheme, a delay-dependent sufficient condition is derived for the considered system to be exponentially stable. The obtained results provide a solution to one of the basic problems in continuous-time switched time-delay systems, that is, to find a switching signal for which the switched time-delay system is exponentially stable. An illustrative example is given to demonstrate the effectiveness of the proposed results.