Control Lyapunov functions and stabilization by means of continuous time-varying feedback
ESAIM: Control, Optimisation and Calculus of Variations, Volume 15 (2009) no. 3, p. 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 : https://doi.org/10.1051/cocv:2008046
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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