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Comparison of numerical methods in the contrast imaging problem in NMR

Bonnard, Bernard and Claeys, Mathieu and Cots, Olivier and Martinon, Pierre Comparison of numerical methods in the contrast imaging problem in NMR. (2014) In: 52nd IEEE Conference on Decision and Control (CDC 2013), 10 December 2013 - 13 December 2013 (Firenze, Italy).

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Official URL: http://dx.doi.org/10.1109/CDC.2013.6760586

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 and the HamPath software, both based on Pontryagin's maximum principle. We then compare these results using direct methods implemented with the Bocop toolbox and a moment-based approach, making a first step towards global optimality.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of CDC 2013. ISSN: 0191-2216 ISSN: 0191-2216 The original PDF of the article can be found at: http://ieeexplore.ieee.org/document/6760586/ Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Audience (conference):International conference proceedings
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)
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)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:03 Feb 2017 14:34

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