Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance

Abstract : The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal solutions of the Pontryagin Maximum Principle applied to this Mayer type optimal problem. Such trajectories are associated to the question of extremizing the transfer time. Hence the optimal problem is reduced to the analysis of the Hamiltonian dynamics related to singular extremals and their optimality status. This is illustrated by using the examples of cerebrospinal fluid/water and grey/white matter of cerebrum.
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https://hal.archives-ouvertes.fr/hal-00750032
Contributor : Dominique Sugny <>
Submitted on : Thursday, November 8, 2012 - 10:40:36 PM
Last modification on : Monday, July 1, 2019 - 1:16:00 AM

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Bernard Bonnard, Olivier Cots, Steffen J. Glaser, Marc Lapert, Dominique Sugny, et al.. Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57, pp.1957--1969. ⟨10.1109/TAC.2012.2195859⟩. ⟨hal-00750032⟩

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