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Control Lyapunov functions and stabilization by means of continuous time-varying feedback. (English) Zbl 1167.93021

Summary: 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 J.-M. Coron and L. Rosier [J. Math. Syst. Estim. Control 4, No. 1, 67–84 (1994; Zbl 0925.93827)] concerning stabilization of autonomous systems by means of time-varying periodic feedback.

MSC:

93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93B52 Feedback control
93D09 Robust stability

Citations:

Zbl 0925.93827
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References:

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