Geodesic
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

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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
Keywords: control Lyapunov function, feedback stabilization, time-varying systems 
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     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},
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     year = {2009},
     doi = {10.1051/cocv:2008046},
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     zbl = {1167.93021},
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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

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