Abstract: A m-switched system which consists of m linear systems which are individually asymptotic stable may be unstable via infinite switching. This paper investigates the asymptotic stabilization of an m-switched systems described by continuous time system or discrete time system, using Lyapunov like functions.A sufficient condition for asymptotic stability is given. The design method of stabilizing controller is developed with it. At last an example presented shows that the method given in this paper is feasible and simple.