Finite-time stabilization of a class of cascade nonlinear switched systems with time delay

This paper investigates the finite time stabilization problem for a class of cascade nonlinear switched systems with time delay. By using the Average Dwell Time and Multiple Lyapunov Functions technologies, some sufficient conditions which can guarantee that the corresponding closed-loop system is finite-time stabilized are derived for the switched systems. By using Multiple Lyapunov Functions, the state feedback controller is designed to finite-time stabilize a cascade nonlinear switched system with time delay, and the conditions are formulated in terms of LMIs. An example is given to illustrate the efficiency of the proposed methods.