On dynamic feedback linearization of four-dimensional affine control systems with two inputs

J.-B. Pomet

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 2, page 151-230
  • ISSN: 1292-8119

Abstract

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This paper considers control affine systems in with two inputs, and gives necessary and sufficient conditions for dynamic feedback linearization of these systems with the restriction that the "linearizing outputs" must be some functions of the original state and inputs only. This also gives conditions for non-affine systems in .

How to cite

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Pomet, J.-B.. "On dynamic feedback linearization of four-dimensional affine control systems with two inputs." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 151-230. <http://eudml.org/doc/197297>.

@article{Pomet2010,
abstract = { This paper considers control affine systems in $\lambda _\{2\}$ with two inputs, and gives necessary and sufficient conditions for dynamic feedback linearization of these systems with the restriction that the "linearizing outputs" must be some functions of the original state and inputs only. This also gives conditions for non-affine systems in $\lambda _\{2\}$. },
author = {Pomet, J.-B.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Dynamic feedback linearization / linearizing outputs / small dimensions.; dynamic feedback linearization; coordinate transformations; infinite-dimensional manifolds; projective limit},
language = {eng},
month = {3},
pages = {151-230},
publisher = {EDP Sciences},
title = {On dynamic feedback linearization of four-dimensional affine control systems with two inputs},
url = {http://eudml.org/doc/197297},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Pomet, J.-B.
TI - On dynamic feedback linearization of four-dimensional affine control systems with two inputs
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 2
SP - 151
EP - 230
AB - This paper considers control affine systems in $\lambda _{2}$ with two inputs, and gives necessary and sufficient conditions for dynamic feedback linearization of these systems with the restriction that the "linearizing outputs" must be some functions of the original state and inputs only. This also gives conditions for non-affine systems in $\lambda _{2}$.
LA - eng
KW - Dynamic feedback linearization / linearizing outputs / small dimensions.; dynamic feedback linearization; coordinate transformations; infinite-dimensional manifolds; projective limit
UR - http://eudml.org/doc/197297
ER -

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