Design of Control Lyapunov Functions for Homogeneous Jurdjevic-Quinn Systems

Abstract : This paper presents a method to design explicit control Lyapunov functions for affine and homogeneous systems that satisfy the so-called «Jurdjevic-Quinn conditions». For these systems a positive definite function V_0 is known that can only be made non increasing by feedback. We describe how a control Lyapunov function can be obtained via a deformation of this «weak» Lyapunov function. Some examples are presented, and the linear quadratic situation is treated as an illustration.
Type de document :
Rapport
RR-3724, INRIA. 1999
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https://hal.inria.fr/inria-00072940
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Soumis le : mercredi 24 mai 2006 - 11:20:19
Dernière modification le : samedi 27 janvier 2018 - 01:30:53
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:28:52

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  • HAL Id : inria-00072940, version 1

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Ludovic Faubourg, Jean-Baptiste Pomet. Design of Control Lyapunov Functions for Homogeneous Jurdjevic-Quinn Systems. RR-3724, INRIA. 1999. 〈inria-00072940〉

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