Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback

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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 towards feedback stabilization due to J. M. Coron and L. Rosier concerning stabilization of autonomous systems by means of time-varying periodic feedback.
Submitted for possible publication to ESAIM Control, Optimisation and Calculus of Variations

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Optimization and Control

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http://salesiana.dossiersoluciones.com/handle/123456789/142499

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3082
 http://arxiv.org/abs/0711.3082

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arXiv