Maximum Principle and Application to Nuclear Magnetic Resonance and Magnetic Resonance Imaging

  • Bernard Bonnard
  • Monique Chyba
  • Jérémy Rouot
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


In this section we state the Pontryagin maximum principle and we outline the proof. We adopt the presentation from Lee and Markus [64] where the result is presented into two theorems.

Copyright information

© The Author(s), under exclusive license to Springer International Publishing AG, part of Springer Nature 2018

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

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