Control with Markov sensors/actuators assignment

This note is concerned with the stability analysis and controller design for linear systems involving a network of sensors and actuators, which are triggered in groups by random events. These events are modeled by two independent Markov chains. A novel stability criterion is obtained by considering transmission delays in the measurement and control signals. Based on the stability criterion, the controller gain is designed. A numerical example is given to show the effectiveness of the proposed method.