Stabilization of Switched Systems via Common Lyapunov Function

This paper considers the stabilization of some types of switched control systems via common Lyapunov functions. Firstly, the stabilization of switched nonlinear systems is considered. A design technique of Lyapunov functions is introduced to stabilize the system under arbitrary switching laws. Secondly, the stabilization of switched linear systems is considered. Assume switching strategy and control are designable. Suitable common Lyapunov functions are proposed to assure the stability of the closed-loop systems

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