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}, publisher = {EDP-Sciences}, volume = {15}, number = {3}, year = {2009}, doi = {10.1051/cocv:2008046}, mrnumber = {2542575}, zbl = {1167.93021}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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, Volume 15 (2009) no. 3, pp. 599-625. doi : 10.1051/cocv:2008046. http://archive.numdam.org/articles/10.1051/cocv:2008046/

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