期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 57, 期 8, 页码 1957-1969出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2195859
关键词
Geometric optimal control; nuclear magnetic resonance (NMR); quantum control
资金
- PEPS INSIS Optimal control of spin dynamics in Nuclear Magnetic Resonance Imaging
The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal solutions of the Pontryagin Maximum Principle applied to this Mayer type optimal problem. Such trajectories are associated to the question of extremizing the transfer time. Hence the optimal problem is reduced to the analysis of the Hamiltonian dynamics related to singular extremals and their optimality status. This is illustrated by using the examples of cerebrospinal fluid/water and grey/white matter of cerebrum.
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