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This paper discusses the stabilization problem of hybrid systems using control Lyapunov functions (CLFs). A CLF approach is one of the powerful methods in the stabilization of nonlinear systems. However, there are a few results for the stabilization of hybrid systems. In this paper, to develop stability theory of hybrid systems with discrete dynamics, a construction method of a CLF is proposed. Furthermore,...
The stabilization of discrete nonlinear systems is studied. Based on control Lyapunov functions, a sufficient and necessary condition for a quadratic function to be a control Lyapunov function is given. From this condition, a continuous state feedback law is constructed explicitly. It can globally asymptotically stabilize the equilibrium of the closed-loop system. A simulation example shows the effectiveness...
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