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arXiv · 0711.3082

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

Iasson Karafyllis·John Tsinias
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Abstract

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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Iasson Karafyllis, John Tsinias. 2007-11-20. Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback. https://arxiv.org/abs/0711.3082

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