Optimal Control of an Ensemble of Bloch Equations with Applications in MRI
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Optimal Control of an Ensemble of Bloch Equations with Applications in MRI |
| Type de publication | Conference Paper |
| Year of Publication | 2016 |
| Auteurs | Bonnard B, Jacquemard A, Rouot J |
| Conference Name | 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) |
| Publisher | IEEE; Soc Ind & Appl Math; Inst Operat Res & Management Sci; Japanese Soc Instrument Control Engineers; European Control Assoc |
| Conference Location | 345 E 47TH ST, NEW YORK, NY 10017 USA |
| ISBN Number | 978-1-5090-1837-6 |
| Résumé | The optimal control of an ensemble of Bloch equations describing the evolution of an ensemble of spins is the mathematical model used in Nuclear Resonance Imaging and the associated costs lead to consider Mayer optimal control problems. The Maximum Principle allows to parameterize the optimal control and the dynamics is analyzed in the framework of geometric optimal control. This leads to numerical implementations or suboptimal controls using averaging principle. |