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

Iasson Karafyllis; John Tsinias

ESAIM: Control, Optimisation and Calculus of Variations (2009)

  • Volume: 15, Issue: 3, page 599-625
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Karafyllis, Iasson, and Tsinias, John. "Control Lyapunov functions and stabilization by means of continuous time-varying feedback." ESAIM: Control, Optimisation and Calculus of Variations 15.3 (2009): 599-625. <http://eudml.org/doc/245982>.

@article{Karafyllis2009,
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. Control 4 (1994) 67–84] concerning stabilization of autonomous systems by means of time-varying periodic feedback.},
author = {Karafyllis, Iasson, Tsinias, John},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {control Lyapunov function; feedback stabilization; time-varying systems},
language = {eng},
number = {3},
pages = {599-625},
publisher = {EDP-Sciences},
title = {Control Lyapunov functions and stabilization by means of continuous time-varying feedback},
url = {http://eudml.org/doc/245982},
volume = {15},
year = {2009},
}

TY - JOUR
AU - Karafyllis, Iasson
AU - Tsinias, John
TI - Control Lyapunov functions and stabilization by means of continuous time-varying feedback
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2009
PB - EDP-Sciences
VL - 15
IS - 3
SP - 599
EP - 625
AB - 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.
LA - eng
KW - control Lyapunov function; feedback stabilization; time-varying systems
UR - http://eudml.org/doc/245982
ER -

References

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