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.
Keywords: 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},
year = {2009},
publisher = {EDP Sciences},
volume = {15},
number = {3},
doi = {10.1051/cocv:2008046},
mrnumber = {2542575},
zbl = {1167.93021},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv:2008046/}
}
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 SP - 599 EP - 625 VL - 15 IS - 3 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv:2008046/ DO - 10.1051/cocv:2008046 LA - en ID - COCV_2009__15_3_599_0 ER -
%0 Journal Article %A Karafyllis, Iasson %A Tsinias, John %T Control Lyapunov functions and stabilization by means of continuous time-varying feedback %J ESAIM: Control, Optimisation and Calculus of Variations %D 2009 %P 599-625 %V 15 %N 3 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv:2008046/ %R 10.1051/cocv:2008046 %G en %F 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
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