SINGULAR TRAJECTORIES AND THE CONTRAST IMAGING PROBLEM IN NUCLEAR MAGNETIC RESONANCE

被引：10

作者：

Bonnard, Bernard ^{[1
]}

Chyba, Monique ^{[2
]}

Marriott, John ^{[2
]}

机构：

[1] UMR CNRS 5584, Inst Math Bourgogne, F-21078 Dijon, France

[2] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2013年 / 51卷 / 02期

基金：

美国国家科学基金会;

关键词：

Mayer problem; geometric optimal control; contrast imaging; GEOMETRIC OPTIMAL-CONTROL; SYSTEMS; OPTIMALITY;

D O I：

10.1137/110833427

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, the contrast imaging problem in nuclear magnetic resonance is modeled as a Mayer problem in optimal control whose solutions can be parameterized using Pontryagin's maximum principle and analyzed using geometric optimal control. In particular, the optimal problem can be mainly reduced to the analysis of the Hamiltonian dynamics describing the singular trajectories and encoding their optimality status.

引用

页码：1325 / 1349

页数：25

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