Stabilization of Second and Third Order Constrained Switched Linear Systems

In this paper a special class of switched systems with constrained in the switching sequence is considered. This class of systems have some practical applications in the real world modeling. The considered model has finite second or third order linear subsystems. In this paper a method is presented to synthesize a stabilizing switching law for this class of hybrid systems. The presented method is based on Lyapunov theory but also it is fully constructive. The effectiveness of the method is verified through simulations.