Stabilization of a Class of 2-Switch-Driven Hybrid Systems

Abstract

We consider the two cases to address the stabilization problem of a class of multi-modal hybrid systems with binary-switches. In one case it is reduced to the stabilization problem similar to that for the class of usual continuous linear systems under some condition. In the other case, an approach to find a dynamic state feedback controller that renders the closed loop system well-posed as well as globally asymptotically stable at the equiribrium state is proposed.