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Infinitesimal Brunovsky Form for Nonlinear Systems with Applications to Dynamic Linearization

Abstract : 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.
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https://hal.inria.fr/inria-00074360
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Submitted on : Wednesday, May 24, 2006 - 3:08:56 PM
Last modification on : Wednesday, April 27, 2022 - 5:03:04 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:41:29 PM

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Eduardo Aranda-Bricaire, Claude-H. Moog, Jean-Baptiste Pomet. Infinitesimal Brunovsky Form for Nonlinear Systems with Applications to Dynamic Linearization. [Research Report] RR-2313, INRIA. 1994. ⟨inria-00074360⟩

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