Comparison of numerical methods in the contrast imaging problem in NMR
B Bonnard, M Claeys, O Cots… - 52nd IEEE Conference …, 2013 - ieeexplore.ieee.org
B Bonnard, M Claeys, O Cots, P Martinon
52nd IEEE Conference on Decision and Control, 2013•ieeexplore.ieee.orgIn 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.
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.
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.
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