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

Iasson Karafyllis; John Tsinias

ESAIM: Control, Optimisation and Calculus of Variations (2008)

  • 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. Control4 (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 (2008): 599-625. <http://eudml.org/doc/90929>.

@article{Karafyllis2008,
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. },
author = {Karafyllis, Iasson, Tsinias, John},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Control Lyapunov Function; feedback stabilization; time-varying systems; control Lyapunov function; time-varying systems},
language = {eng},
month = {7},
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/90929},
volume = {15},
year = {2008},
}

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
DA - 2008/7//
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. Control4 (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; control Lyapunov function; time-varying systems
UR - http://eudml.org/doc/90929
ER -

References

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