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

Bonnard, Bernard and Claeys, Mathieu and Cots, Olivier and Martinon, Pierre Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. (2015) Acta Applicandae Mathematicae, vol. 135 (n° 1). pp. 5-45. ISSN 0167-8019

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Official URL: http://dx.doi.org/10.1007/s10440-014-9947-3

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.

Item Type:Article
Additional Information:Thanks to Springer Verlag (Germany) editor. The definitive version is available at http://link.springer.com/article/10.1007%2Fs10440-014-9947-3
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université de Bourgogne - UB (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Other partners > Ecole Polytechnique (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:02 Feb 2016 17:03

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