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

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}, publisher = {EDP-Sciences}, volume = {15}, number = {3}, year = {2009}, pages = {599-625}, 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, Volume 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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