Stabilization of Switched Linearizable Nonlinear Systems

This paper considers the stabilization of switched nonlinear systems, having switching modes in a comparable decoupled linearizable normal form. The switching law is assumed being unobservable. First, it is proved that under a mild condition the global stabilizability can be achieved. A design technique of stabilizing controller is provided. Then a necessary and sufficient condition is revealed for a switched nonlinear system to be feedback transferable to the comparable decoupled linearizable normal form. Thirdly, the result is used for local stabilization of more general switched nonlinear systems