Abstract: In order to improve the dynamic performance of the networked switching systems due to time-delay, a switching observer and a switching controller are designed by means of the Lyapunov stability theory. A sufficient condition for the stability of the closed-loop networked switching systems is obtained for the arbitrary switching rule and arbitrary time-delay. Finally, a cone complementarity linearization method is also given to solve the gains of the switching obsrver and of the switching controller, with an example showing the efficiency of the proposed approach.

Key words: networked switching systems, BMI, switching Lyapunov function, switching observer, switching controller