Infinitesimal Brunovsky form for nonlinear systems, with applications to dynamic linearization

Abstract : We define, in an infinite-dimensional differential geometric framework, the "infinitesimal Brunovsky form" which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by "endogenous dynamic feedback". NB: this paper follows "A differential geometric setting for dynamic equivalence and dynamic linearization", by J.-B. Pomet, published in the same 1995 volume, which is its natural intrduction. This is a corrected version of the reports http://hal.inria.fr/inria-00074360 and http://hal.inria.fr/inria-00074361
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https://hal.inria.fr/hal-01501090
Contributor : Jean-Baptiste Pomet <>
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  • is format of inria-00074360 - That "rapport de recherche" was a preliminary version. The present document is a slightly enriched version of the published article.

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Eduardo Aranda-Bricaire, Claude H. Moog, Jean-Baptiste Pomet. Infinitesimal Brunovsky form for nonlinear systems, with applications to dynamic linearization. Banach Center Publications, Institute of Mathematics Polish Academy of Sciences, 1995, 32, pp.19 - 33. ⟨10.4064/-32-1-19-33⟩. ⟨hal-01501090⟩

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