Infinitesimal Brunovsky Form for Nonlinear Systems with Applications to Dynamic Linearization

Eduardo Aranda-Bricaire; Claude-H. Moog; Jean-Baptiste Pomet

inria-00074360, version 1

Infinitesimal Brunovsky Form for Nonlinear Systems with Applications to Dynamic Linearization

Eduardo Aranda-Bricaire ^1, 2, Claude-H. Moog ^1, 2, Jean-Baptiste Pomet () ²

N° RR-2313 (1994)

Résumé : We define the ``infinitesimal Brunovsky form'' for nonlinear systems in the infinite-dimensionnal differential geometric framework devellopped in ``A Differential Geometric Setting for Dynamic Equivalence and Dynamic Linearization'' (Rapport INRIA No XXXX, needed to understand the present note), and link it with endogenous dynamic linearizability, i.e. conjugation of the system to a linear one by a (infinite dimensional) diffeomorphism.

1 : Laboratoire d'Automatique de Nantes (LAN)
École Centrale de Nantes – CNRS : URA823
2 : MIAOU (INRIA Sophia Antipolis)
INRIA

inria-00074360, version 1
http://hal.inria.fr/inria-00074360
oai:hal.inria.fr:inria-00074360
Contributeur : Rapport De Recherche Inria <>
Soumis le : Mercredi 24 Mai 2006, 15:08:56
Dernière modification le : Mercredi 14 Mars 2007, 16:07:50

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