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.

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.

DOI : 10.1051/cocv:2008046
Classification : 93C10, 93B52, 93D09
Mots-clés : control Lyapunov function, feedback stabilization, time-varying systems 
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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. https://www.numdam.org/articles/10.1051/cocv:2008046/

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