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Journal Articles Acta Applicandae Mathematicae Year : 2015

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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Dates and versions

hal-00867753 , version 1 (30-09-2013)
hal-00867753 , version 2 (19-12-2014)

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Cite

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