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.
Classification : 93C10, 93B52, 93D09
Mots clés : control Lyapunov function, feedback stabilization, time-varying systems
@article{COCV_2009__15_3_599_0,
author = {Karafyllis, Iasson and Tsinias, John},
title = {Control Lyapunov functions and stabilization by means of continuous time-varying feedback},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {599--625},
publisher = {EDP-Sciences},
volume = {15},
number = {3},
year = {2009},
doi = {10.1051/cocv:2008046},
zbl = {1167.93021},
mrnumber = {2542575},
language = {en},
url = {http://www.numdam.org/item/COCV_2009__15_3_599_0/}
}
Karafyllis, Iasson; Tsinias, John. Control Lyapunov functions and stabilization by means of continuous time-varying feedback. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 599-625. doi : 10.1051/cocv:2008046. http://www.numdam.org/item/COCV_2009__15_3_599_0/
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