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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.
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https://hal.inria.fr/inria-00072940
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Submitted on : Wednesday, May 24, 2006 - 11:20:19 AM
Last modification on : Friday, February 4, 2022 - 3:07:48 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:28:52 PM

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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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