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Comparison of Numerical Methods in the Contrast Imaging Problem in NMR

Abstract : In this article, the contrast imaging problem in nuclear magnetic resonance is modeled as a Mayer problem in optimal control. A first synthesis of locally optimal solutions is given in the single-input case using geometric methods based on Pontryagin's maximum principle. We then compare these results using direct methods and a moment-based approach, and make a first step towards global optimality. Finally, some preliminary results are given in the bi-input case.
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https://hal.inria.fr/hal-00800436
Contributor : Pierre Martinon Connect in order to contact the contributor
Submitted on : Wednesday, March 13, 2013 - 4:24:58 PM
Last modification on : Friday, November 25, 2022 - 10:12:06 AM
Long-term archiving on: : Sunday, April 2, 2017 - 12:36:31 PM

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  • HAL Id : hal-00800436, version 1

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Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon. Comparison of Numerical Methods in the Contrast Imaging Problem in NMR. 52nd IEEE Conference on Decision and Control, Dec 2013, Firenze, Italy. ⟨hal-00800436⟩

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