The Robust Stability And Stabilization Of A Class Of Switched Systems

In this paper we study the robust stability and stabilization of switched systems. Firstly, we prove that a class of interval-switched-systems is satbilizable under arbitrary switching, and a feedback control law for the systems is constructed. Secondly, integral input to state stability (iISS) of the switched systems is discussed, and a sufficient condition of iISS is given. At last, a converse Lyapunov theorem for discrete switched system is presented, and a common Lyapunov funtion is constructed for a family of the discrete switched systems whose subsystems are commutative.