[Description de toutes les coordonnées privilégiées dans le problème d'approximation homogène pour les systèmes contrôlés non linéaires]
Dans le problème d'approximation homogène pour des systèmes contrôlés affines les coordonnées privilégiées sont celles dans lesquelles le système a une forme « triangulaire » qui permet de trouver un système d'approximation. Nous donnons les conditions nécessaires et suffisantes pour que des coordonnées soient privilégiées. Nous utilisons une technique algébrique basée sur la représentation par des séries de systèmes de commande affines.
In a homogeneous approximation problem for affine control systems, privileged coordinates are those in which the system takes a ‘triangular’ form allowing one to find an approximating system. We give the necessary and sufficient conditions for coordinates to be privileged. We apply an algebraic technique based on the series representation of affine control systems.
Accepté le :
Publié le :
Grigory Sklyar 1 ; Svetlana Ignatovich 2
@article{CRMATH_2007__344_2_109_0,
author = {Grigory Sklyar and Svetlana Ignatovich},
title = {Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems},
journal = {Comptes Rendus. Math\'ematique},
pages = {109--114},
publisher = {Elsevier},
volume = {344},
number = {2},
year = {2007},
doi = {10.1016/j.crma.2006.11.016},
language = {en},
}
TY - JOUR AU - Grigory Sklyar AU - Svetlana Ignatovich TI - Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems JO - Comptes Rendus. Mathématique PY - 2007 SP - 109 EP - 114 VL - 344 IS - 2 PB - Elsevier DO - 10.1016/j.crma.2006.11.016 LA - en ID - CRMATH_2007__344_2_109_0 ER -
%0 Journal Article %A Grigory Sklyar %A Svetlana Ignatovich %T Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems %J Comptes Rendus. Mathématique %D 2007 %P 109-114 %V 344 %N 2 %I Elsevier %R 10.1016/j.crma.2006.11.016 %G en %F CRMATH_2007__344_2_109_0
Grigory Sklyar; Svetlana Ignatovich. Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems. Comptes Rendus. Mathématique, Volume 344 (2007) no. 2, pp. 109-114. doi : 10.1016/j.crma.2006.11.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.11.016/
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