Robust Stabilization of Switched Systems with Uncertain Input Delays

This paper investigates the stability and control of some input-delayed switched systems while delays contain constant delays and time-varying delays. Based on the reduction method, Lyapunov stability theory and LMI approach, a state feedback controller, a switching strategy and the stabilization conditions of the system are proposed. Finally, we use a simple model to proof that the controller using the reduction method can stabilize a larger class of systems than those existing memoryless controllers.