Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback

Details Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback

2007-11-20

arxiv.org/abs/0711.3082v1

Mathematics

Optimization and Control

Submitted for possible publication to ESAIM Control, Optimisation and Calculus of Variations

Scientific paper

For a general time-varying system, we prove that existence of an "Output Robust Control Lyapunov Function" implies existence of continuous time-varying feedback stabilizer, which guarantees output asymptotic stability with respect to the resulting closed-loop system. The main results of the present work constitute generalizations of a well-known result towards feedback stabilization due to J. M. Coron and L. Rosier concerning stabilization of autonomous systems by means of time-varying periodic feedback.

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