Global stabilization of a class of multi-input cascade switched nonlinear systems
一类多输入级联非线性切换系统的全局镇定

We consider the global stabilization of a class of multi-input cascade switched nonlinear systems with a linear switched part. A set of sufficient conditions for existing a uniform canonical form is given to the linear system. To the canonical form and the memoryless nonlinearity, we apply the quadratic Lyapunov function to design a state feedback for stabilizing the linear parts under arbitrary switching laws. Globally asymptotic stability of closed-loop system under arbitrary switching laws can be achieved by properly constructing the common Lyapunov functions.