Study on the time-delay robust quadratic stabilization for a class of discrete switched systems

A class of constant bounded time-delay robust quadratic stabilization problems for discrete switched system are considered in this note. The switched system proposed here are composed of constant bounded time-delay terms. Based on the concept of perfect set, the control strategies of switched systems constant time-delay terms has been designed to meet the matching conditions. Lyapunov function method has been utilized to design robust state feedback controller for the switch system, which ensures that the switching system is the quadratic stability and asymptotic stability, and has the desired stability margin. Compared with the existed Lyapunov methods, our control strategy is more clear and easy to carry out.