Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback
Optimization and Control
2007-11-21 v1
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.
Cite
@article{arxiv.0711.3082,
title = {Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback},
author = {Iasson Karafyllis and John Tsinias},
journal= {arXiv preprint arXiv:0711.3082},
year = {2007}
}
Comments
Submitted for possible publication to ESAIM Control, Optimisation and Calculus of Variations