caa a22 4500 606166106 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10440-014-9947-3 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9947-3 Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance [Elektronische Daten] [Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon] 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. Springer Science+Business Media Dordrecht, 2014 Geometric optimal control nationallicence Contrast imaging in NMR nationallicence Direct method nationallicence Shooting and continuation techniques nationallicence Moment optimization nationallicence Bonnard Bernard Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078, Dijon, France aut Claeys Mathieu CNRS, LAAS, 7 avenue du colonel Roche, 31077, Toulouse, France aut Cots Olivier INRIA Sophia Antipolis Méditerranée, 06902, Sophia Antipolis, France aut Martinon Pierre Inria and Ecole Polytechnique, 91128, Palaiseau, France aut Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 5-45 0167-8019 135:1<5 2015 135 10440 https://doi.org/10.1007/s10440-014-9947-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9947-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bonnard Bernard Institut de Mathématiques de Bourgogne, Université de Bourgogne, 9 avenue Alain Savary, 21078, Dijon, France aut NATIONALLICENCE 700 1- Claeys Mathieu CNRS, LAAS, 7 avenue du colonel Roche, 31077, Toulouse, France aut NATIONALLICENCE 700 1- Cots Olivier INRIA Sophia Antipolis Méditerranée, 06902, Sophia Antipolis, France aut NATIONALLICENCE 700 1- Martinon Pierre Inria and Ecole Polytechnique, 91128, Palaiseau, France aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 5-45 0167-8019 135:1<5 2015 135 10440