Two applications of geometric optimal control to the dynamics of spin particle

Abstract : The purpose of this article is to present the application of methods from geometric optimal control to two problems in the dynamics of spin particles. First, we consider the saturation problem for a single spin system and second, the control of a linear chain of spin particles with Ising couplings. For both problems the minimizers are parameterized using Pontryagin Maximum Principle and the optimal solution is found by a careful analysis of the corresponding equations.
Type de document :
Pré-publication, Document de travail
To appear in a volume of "Math and Industry", Springer-Verlag. 2013
Liste complète des métadonnées

https://hal.inria.fr/hal-00956828
Contributeur : Jean-Baptiste Pomet <>
Soumis le : vendredi 7 mars 2014 - 13:09:51
Dernière modification le : vendredi 8 juin 2018 - 14:50:07
Document(s) archivé(s) le : samedi 7 juin 2014 - 11:35:48

Fichier

Bonnard-Chyba-FMI2013-revision...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00956828, version 1

Citation

Bernard Bonnard, Monique Chyba. Two applications of geometric optimal control to the dynamics of spin particle. To appear in a volume of "Math and Industry", Springer-Verlag. 2013. 〈hal-00956828〉

Partager

Métriques

Consultations de la notice

540

Téléchargements de fichiers

326