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Rapport Année : 1999

Design of Control Lyapunov Functions for Homogeneous Jurdjevic-Quinn Systems

Résumé

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.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00072940 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00072940 , version 1

Citer

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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