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
Publié le : 1995-07-04
Classification:
Nonlinear control systems,
Contact transformations,
Lie-Bäcklund transformations,
Dynamic feedback linearization,
Dynamic feedback equivalence,
Endogenous dynamic feedback,
Infinite jet bundles,
Linearized control system,
Pfaffian systems,
Brunovsky canonical form,
Flat systems,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-01501090,
author = {Aranda-Bricaire, Eduardo and Moog, Claude H. and Pomet, Jean-Baptiste},
title = {Infinitesimal Brunovsky form for nonlinear systems, with applications to dynamic linearization},
journal = {HAL},
volume = {1995},
number = {0},
year = {1995},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01501090}
}
Aranda-Bricaire, Eduardo; Moog, Claude H.; Pomet, Jean-Baptiste. Infinitesimal Brunovsky form for nonlinear systems, with applications to dynamic linearization. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-01501090/