Geometric and Numerical Optimal Control Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging /

• Main Authors: Bonnard, Bernard (Author, http://id.loc.gov/vocabulary/relators/aut), Chyba, Monique (http://id.loc.gov/vocabulary/relators/aut), Rouot, Jérémy (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Calculus of variations.; Neurosciences.; Applied mathematics.; Engineering mathematics.; Mathematical models.; Bioinformatics .; Computational biology .; Calculus of Variations and Optimal Control; Optimization.; Applications of Mathematics.; Mathematical Modeling and Industrial Mathematics.; Computer Appl. in Life Sciences.

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 desi...

Table of Contents:

• 1 Historical part - Calculus of variations
• 2 Weak Maximum Principle and Application to Swimming at low Reynolds Number
• 3 Maximum Principle and Application to NMR and MRI
• 4 Conclusion.