GEOMETRIC NUMERICAL METHODS AND RESULTS IN THE CONTRAST IMAGING PROBLEM IN NUCLEAR MAGNETIC RESONANCE

DOI10.1142/S0218202513500504zbMath1281.49025MaRDI QIDQ2873527

Olivier Cots, Bernard Bonnard

Publication date: 24 January 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

geometric optimal controlcontrast imaging in nuclear magnetic resonance (NMR)shooting and continuation methods

Mathematics Subject Classification ID

Newton-type methods (49M15) Molecular physics (81V55) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (6)

Time minimal saturation of a pair of spins and application in magnetic resonance imaging ⋮ Symmetries in geometric control theory using Maple ⋮ Modal occupation measures and LMI relaxations for nonlinear switched systems control ⋮ Optimal control theory for applications in magnetic resonance imaging ⋮ A hybrid construction method based on weight functions to obtain interval-valued fuzzy relations ⋮ Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance

Cites Work

• Unnamed Item
• Numerical solution of singular control problems using multiple shooting techniques
• Singular trajectories and their role in control theory
• Differential continuation for regular optimal control problems
• The High Order Maximal Principle and Its Application to Singular Extremals
• Introduction to Numerical Continuation Methods
• Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
• Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance
• Sufficient Conditions for a Strong Minimum in Singular Control Problems

This page was built for publication: GEOMETRIC NUMERICAL METHODS AND RESULTS IN THE CONTRAST IMAGING PROBLEM IN NUCLEAR MAGNETIC RESONANCE