Input-to-state stability analysis for a class of switched systems with time delay

Based on the multi-Lyapunov function approach, dwell-time approach and Gronwall-Bellman inequality, the problem of input-to-state stability for a class of switched systems with time delay is studied. From the definition of input- to-state stability, sufficient conditions for a class of switched systems with time delay being input-to-state stable are got. Compared with the existing methods, the proposed method does not need constructing input-to-state stable control Lyapunov function, and input-to-state stability properties are not required for all subsystems, which is great convenient for design of subsystem's controller. Simulation results show the effectiveness of the proposed method.