1. Home
  2. Innovations
  3. Technological innovations
  4. Optimal control : a new approach to improve image quality in MRI

  5. Appendix

Article | REF: IN211 V1

Optimal control : a new approach to improve image quality in MRI

Author: Dominique SUGNY

Publication date: November 10, 2013

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

Français

6. Appendix

  • Towards a Hamiltonian formulation of OCT: Pontryagin's maximum principle

In this supplement, we show the origin of the Hamiltonian formulation of Pontryagin's maximum principle in a simple case where there are no constraints on the control field and the final time is fixed. To simplify calculations, we will only consider first-order variations. For the general case, the reference is a very good introduction for an engineering audience.

Consider the dynamic system described by the following nonlinear differential equations:

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Technological innovations

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Appendix
Outline