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Theses

Linéarisation dynamique des systèmes non linéaires et paramétrage de l´ensemble des solutions

Abstract : In this PhD thesis, we were interested in studying the possibility to
parameterize all solutions of a control system with formulas depending on
arbitrary time functions and the derivatives of said time functions up to some
order. After having linked this work with more known problem of finding flat
outputs, we kept two point of views. The first one is a study in small
dimensions that leads us to necessary and sufficient conditions to
parameterize a control system in terms of integrability of a "simple" partial
derivative system. In the second point, for any dimension, we present a tool to study flat outputs and the necessary conditions flat outputs verify. A first result is "very formal" integrability property, explained in the text, of the equations verified by the flat outputs.
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https://tel.archives-ouvertes.fr/tel-00010731
Contributor : David Avanessoff <>
Submitted on : Monday, October 24, 2005 - 3:10:51 PM
Last modification on : Friday, January 18, 2019 - 1:19:52 AM
Long-term archiving on: : Friday, April 2, 2010 - 10:43:43 PM

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  • HAL Id : tel-00010731, version 1

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David Avanessoff. Linéarisation dynamique des systèmes non linéaires et paramétrage de l´ensemble des solutions. Mathématiques [math]. Université Nice Sophia Antipolis, 2005. Français. ⟨tel-00010731⟩

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