Optimal Control of an Ensemble of Bloch Equations with Applications in MRI

Abstract : 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 lead to numerical implementations or suboptimal controls using averaging principle.
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https://hal.inria.fr/hal-01287290
Contributor : Jérémy Rouot <>
Submitted on : Saturday, March 12, 2016 - 4:57:35 PM
Last modification on : Thursday, August 23, 2018 - 12:34:02 PM
Long-term archiving on : Monday, June 13, 2016 - 1:58:15 PM

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  • HAL Id : hal-01287290, version 1

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Bernard Bonnard, Alain Jacquemard, Jérémy Rouot. Optimal Control of an Ensemble of Bloch Equations with Applications in MRI. 2016. ⟨hal-01287290v1⟩

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