Volume 15, Number 3, July-September 2009
|Page(s)||599 - 625|
|Published online||19 July 2008|
Control Lyapunov functions and stabilization by means of continuous time-varying feedback
Department of Environmental Engineering, Technical
University of Crete, 73100, Chania, Greece. firstname.lastname@example.org
2 Department of Mathematics, National Technical University of Athens, Zografou Campus 15780, Athens, Greece. email@example.com
Revised: 10 March 2008
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 due to Coron and Rosier [J. Math. Syst. Estim. Control 4 (1994) 67–84] concerning stabilization of autonomous systems by means of time-varying periodic feedback.
Mathematics Subject Classification: 93C10 / 93B52 / 93D09
Key words: Control Lyapunov Function / feedback stabilization / time-varying systems
© EDP Sciences, SMAI, 2008
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