Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization

E. Aranda-Bricaire; C. Moog; J. Pomet

Banach Center Publications (1995)

  • Volume: 32, Issue: 1, page 19-33
  • ISSN: 0137-6934

Abstract

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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'.

How to cite

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Aranda-Bricaire, E., Moog, C., and Pomet, J.. "Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization." Banach Center Publications 32.1 (1995): 19-33. <http://eudml.org/doc/262767>.

@article{Aranda1995,
abstract = {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'.},
author = {Aranda-Bricaire, E., Moog, C., Pomet, J.},
journal = {Banach Center Publications},
keywords = {flat systems; dynamic feedback linearization; Brunovský canonical form; nonlinear control systems; endogenous dynamic feedback; Pfaffian systems; linearized control system; canonical form; nonlinear},
language = {eng},
number = {1},
pages = {19-33},
title = {Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization},
url = {http://eudml.org/doc/262767},
volume = {32},
year = {1995},
}

TY - JOUR
AU - Aranda-Bricaire, E.
AU - Moog, C.
AU - Pomet, J.
TI - Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization
JO - Banach Center Publications
PY - 1995
VL - 32
IS - 1
SP - 19
EP - 33
AB - 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'.
LA - eng
KW - flat systems; dynamic feedback linearization; Brunovský canonical form; nonlinear control systems; endogenous dynamic feedback; Pfaffian systems; linearized control system; canonical form; nonlinear
UR - http://eudml.org/doc/262767
ER -

References

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Citations in EuDML Documents

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  1. Jean-Baptiste Pomet, On dynamic feedback linearization of four-dimensional affine control systems with two inputs
  2. David Avanessoff, Jean-Baptiste Pomet, Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states
  3. Shun-Jie Li, Witold Respondek, Flat outputs of two-input driftless control systems
  4. Shun-Jie Li, Witold Respondek, Flat outputs of two-input driftless control systems
  5. Shun-Jie Li, Witold Respondek, Flat outputs of two-input driftless control systems

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