LAUSR

This paper investigates the problem of the filter design for linear switched systems with interval time-varying delays under asynchronous switching. A Lyapunov function is designed by using the Lyapunov stability principle. When there exists asynchronous switching between the filter and the system, we prove the stability with a prescribed weighted $L_{2}-L_{\infty }$ performance of the designed linear time-delay augmented filtering error switched systems by using the average dwell time approach. In addition, we use the linear matrix inequality (LMI) method to solve $L_{2}-L_{\infty }$ filter design problem and obtain the filter parameters by solving a set of matrix inequalities. Finally, some numerical simulations are given to illustrate the validity and reliability of the conclusions.