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Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance

Abstract : In this article, the contrast imaging problem in nuclear magnetic resonance is modeled as a Mayer problem in optimal control. The optimal solution can be found as an extremal, solution of the Maximum Principle and analyzed with the techniques of geometric control. This leads to a numerical investigation based on so-called indirect methods using the HamPath software. The results are then compared with a direct method implemented within the Bocop toolbox. Finally lmi techniques are used to estimate a global optimum.
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Submitted on : Friday, December 19, 2014 - 3:52:55 PM
Last modification on : Thursday, November 11, 2021 - 3:50:47 AM
Long-term archiving on: : Saturday, April 15, 2017 - 11:36:37 AM

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Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon. Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. Acta Applicandae Mathematicae, Springer Verlag, 2015, 135 (1), pp.5-45. ⟨10.1007/s10440-014-9947-3⟩. ⟨hal-00867753v2⟩

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