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Control Lyapunov functions and stabilization by means of continuous time-varying feedback

Published online by Cambridge University Press:  19 July 2008

Iasson Karafyllis  and
John Tsinias
Iasson Karafyllis
Affiliation:
Department of Environmental Engineering, Technical University of Crete, 73100, Chania, Greece. [email protected]
John Tsinias
Affiliation:
Department of Mathematics, National Technical University of Athens, Zografou Campus 15780, Athens, Greece. [email protected]
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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 due to Coron and Rosier [J. Math. Syst. Estim. Control4 (1994) 67–84] concerning stabilization of autonomous systems by means of time-varying periodic feedback.

Keywords

Control Lyapunov Functionfeedback stabilizationtime-varying systems
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 3 , July 2009 , pp. 599 - 625
Copyright
© EDP Sciences, SMAI, 2008

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