Comptes Rendus
no. 9
Dynamical Systems
Normal forms for nonlinear control systems with scalar output
[Formes normales pour les systèmes de contrôle non linéaires mono-sortie]

Présenté par : Gérard Iooss

Issa A. Tall1 ; Moussa Balde2
1 Department of Mathematics, Natural Sciences Division, Tougaloo College, 500 W. County Line Road, Jackson, MS 39174, USA
2 Département de mathématiques et informatique, faculté des sciences et techniques, université Cheikh Anta Diop de Dakar, Dakar, Sénégal
Comptes Rendus. Mathématique, Volume 341 (2005) no. 9, pp. 573-578.

Nous présentons dans cette Note une forme normale pour les sytèmes de contrôle non linéaires mono-sortie. Nous suivons une approche proposée par Poincaré et adaptée aux systèmes de contrôle par Kang et Krener, consistant à analyser, pas-à-pas, l'action du changement de coordonnées sur le système.

We propose a normal form for nonlinear control systems with scalar output. We follow an approach proposed by Poincaré and adapted for control systems by Kang and Krener which consists of analyzing, step-by-step, the action of the change of coordinates on the system.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.09.023
Issa A. Tall 1 ; Moussa Balde 2

1 Department of Mathematics, Natural Sciences Division, Tougaloo College, 500 W. County Line Road, Jackson, MS 39174, USA
2 Département de mathématiques et informatique, faculté des sciences et techniques, université Cheikh Anta Diop de Dakar, Dakar, Sénégal 
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Issa A. Tall; Moussa Balde. Normal forms for nonlinear control systems with scalar output. Comptes Rendus. Mathématique, Volume 341 (2005) no. 9, pp. 573-578. doi : 10.1016/j.crma.2005.09.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.09.023/

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