Geometric and Numerical Optimal Control

Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging

  • Bernard Bonnard
  • Monique Chyba
  • Jérémy Rouot

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Bernard Bonnard, Monique Chyba, Jérémy Rouot
    Pages 1-9
  3. Bernard Bonnard, Monique Chyba, Jérémy Rouot
    Pages 11-62
  4. Bernard Bonnard, Monique Chyba, Jérémy Rouot
    Pages 103-103
  5. Back Matter
    Pages 105-108

About this book


This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use –  the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control.


Optimal Control Calculus of Variations Swimming at Low Reynolds Number Magnetic Resonance Imaging Numerical Calculations

Authors and affiliations

  • Bernard Bonnard
    • 1
  • Monique Chyba
    • 2
  • Jérémy Rouot
    • 3
  1. 1.Institut de Mathématiques de BourgogneUniversité de Bourgogne Franche-ComtéDijonFrance
  2. 2.Department of MathematicsUniversity of Hawaii at ManoaHonoluluUSA
  3. 3.Department of Applied MathematicsEPF Graduate School of EngineeringRosières-près-TroyesFrance

Bibliographic information

  • DOI
  • Copyright Information The Author(s), under exclusive license to Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-94790-7
  • Online ISBN 978-3-319-94791-4
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site
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