State Feedback Control with Time-Delay Independent for a Class of Switched Linear System

This paper is designed to solve the problem of state feedback control for a class of switched linear system with time-delay independent. The aim is that the system is closed-loop stable under control with arbitrary switching rules and all the eigenvalues of each sub-system locate in the area we assigned. First, LMI method is presented to solve the problem of the stability of linear time-delay system. Using the public Lyapunov function, stability conditions with arbitrary switching rules and the controller designs are given, after that a kind of contraction factor is referred to give a better convergence of the system. Then the paper gives the sufficient conditions of the pole design for the system. Finally, examples are given to prove the result.