Stabilization of linear systems over networks with double-sided, finite bounded, arbitrary packet loss

This paper considers state feedback stabilization of discrete-time linear systems, where network exists for transmitting the sensor and controller information, and arbitrary bounded packet loss occurs between the sensor and controller, and between the controller and actuator. The sensor and controller send information at each sampling instant. The controller and actuator may or may not receive information at each sampling instant. The stabilization of this system is transformed into the robust stabilization of a set of systems. We find a common quadratic Lyapunov function for the closed-loop system, and give novel stabilization conditions solvable via linear matrix inequality (LMI) techniques. A numerical example is given to validate the stability results.