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Control Lyapunov functions and stabilization by means of continuous time-varying feedback

Iasson KarafyllisJohn Tsinias — 2009

ESAIM: Control, Optimisation and Calculus of Variations

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...

Control Lyapunov functions and stabilization by means of continuous time-varying feedback

Iasson KarafyllisJohn Tsinias — 2008

ESAIM: Control, Optimisation and Calculus of Variations

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 [ (1994) 67–84] concerning stabilization of autonomous systems by means of time-varying periodic feedback. ...

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