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Conference Papers Year : 2013

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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Dates and versions

hal-00800436 , version 1 (13-03-2013)

Identifiers

  • HAL Id : hal-00800436 , version 1

Cite

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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