# 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

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topKarafyllis, 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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