Stabilization of switched linear systems with state multiple time delays

In this paper, the problem of stabilization for consecutive switched system with multiple time-delays is studied. The new multiply time-delays continuous-time switched system stability condition is obtained by designing state feedback controller. The condition is considered by Lyapunov function. The paper not only considered the continuous-time multiple time-delays state feedback system case, but also output feedback system case. At the same time, new criterion of stabilization has been used the same method. At last, the validity and applicability of the proposed approach are successfully demonstrated through simulations.