Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging

Abstract : In this article, we analyse the time minimal control for the saturation of a pair of spins of the same species but with inhomogeneities of the applied RF-magnetic field, in relation with the contrast problem in Magnetic Resonance Imaging. We make a complete analysis based on geometric control to classify the optimal syntheses in the single spin case to pave the road to analyze the case of two spins. The Bocop software is used to determine local minimizers for physical test cases and Linear Matrix Inequalities approach is applied to estimate the global optimal value and validate the previous computations. This is complemented by numerical computations combining shooting and continuation methods implemented in the HamPath software to analyze the structure of the time minimal solution with respect to the set of parameters species.
Type de document :
Pré-publication, Document de travail
2018
Liste complète des métadonnées

Littérature citée [38 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01721845
Contributeur : Jérémy Rouot <>
Soumis le : vendredi 16 mars 2018 - 09:56:11
Dernière modification le : vendredi 8 juin 2018 - 14:50:07

Fichier

main.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01721845, version 2

Citation

Bernard Bonnard, Olivier Cots, Jérémy Rouot, Thibaut Verron. Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging. 2018. 〈hal-01721845v2〉

Partager

Métriques

Consultations de la notice

311

Téléchargements de fichiers

56