We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský 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'.
@article{bwmeta1.element.bwnjournal-article-bcpv32z1p19bwm,
author = {Aranda-Bricaire, E. and Moog, C. and Pomet, J.},
title = {Infinitesimal Brunovsk\'y form for nonlinear systems with applications to Dynamic Linearization},
journal = {Banach Center Publications},
volume = {31},
year = {1995},
pages = {19-33},
zbl = {0844.93024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p19bwm}
}
Aranda-Bricaire, E.; Moog, C.; Pomet, J. Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization. Banach Center Publications, Tome 31 (1995) pp. 19-33. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p19bwm/
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