LAUSR

ABSTRACT This article studies the finite-time stabilization problem for a class of switched time-delay systems with time-varying uncertainties and norm-bounded disturbance. The attention is focused on the cases that uncertainties are in the matrix of the state and in the matrix of the input. First, sufficient conditions for finite-time bounded of unforced switched systems are presented based on multiple Lyapunov-like functions and the average dwell time method. By virtue of the results of finite-time bounded, a state feedback controller is proposed which ensures finite-time stabilization of the closed-loop system. The controller gains are obtained by using the linearization method. The problem of uncertainty in switched systems with time-varying delay is investigated by using the Yakubovich lemma. A numerical example is used to show the effectiveness of the propounded method.