Butcher series and control theory

Abstract : We show how solutions of a non--linear differential equation can be written as sum indexed by planar trees: the Butcher series. Then we use that property in order to control non--linear differential equation. We show that if the linearized system is controllable then the system itself is controllable if the nonlinear term is small enough and we express explicitly the control as a sum indexed by planar tree which each terms is obtained by minimization of a functional.
Type de document :
Pré-publication, Document de travail
14 pages, 3 figures. 2006
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00020099
Contributeur : Dikanaina Harrivel <>
Soumis le : lundi 6 mars 2006 - 10:37:52
Dernière modification le : lundi 5 février 2018 - 15:00:03

Lien texte intégral

Identifiants

Collections

Citation

Dikanaina Harrivel. Butcher series and control theory. 14 pages, 3 figures. 2006. 〈hal-00020099〉

Partager

Métriques

Consultations de la notice

68