Authors:
- Provides recent findings and state-of-art computational techniques in geometric control
- Analyzes the problem of micro-swimming in relation with sub-Riemannian geometry
- Presents the application of optimal control to medical resonance imaging
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
Authors and Affiliations
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Institut de Mathématiques de Bourgogne, Université de Bourgogne Franche-Comté, Dijon, France
Bernard Bonnard
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Department of Mathematics, University of Hawaii at Manoa, Honolulu, USA
Monique Chyba
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Department of Applied Mathematics, EPF Graduate School of Engineering, Rosières-près-Troyes, France
Jérémy Rouot
About the authors
Dr. Bernard Bonnard received his Ph.D in Mathematics from Metz University (France) in 1978 and his Thèse d’Etat degree from Grenoble, France in 1983. He is currently a Professor of Mathematics at the Engineering school Esirem in Dijon, France and member of the INRIA team Mc Tao, Sophia Antipolis. His main research interest is the development of computational techniques in optimal control with applications in space and quantum mechanics.
Dr. Monique Chyba received her Ph.D. in Mathematics from Geneva University (Geneva, Switzerland) in 1997. She is currently a Professor at the department of Mathematics at the University of Hawaii-Manoa, USA. Her main research interest is the development of geometric methods to solve optimal control problems with her central objective being to understand the role of singular extremals in optimal strategies for nonlinear control systems. Her latest work deals with biological applications such as efficient swimming at low Reynolds number and morphogenesis.
Dr. Jérémy Rouot received his Ph.D. in Applied Mathematics from Nice Sophia Antipolis University (France) in 2016. He is currently a lecturer and researcher at the EPF Graduate School of Engineering in Troyes, France. His research focuses on geometric and numerical methods to solve optimal control problems arising from orbital transfer in spatial mechanics, swimming problem at low Reynolds number, nuclear magnetic resonance and biomechanical models.
Bibliographic Information
Book Title: Geometric and Numerical Optimal Control
Book Subtitle: Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging
Authors: Bernard Bonnard, Monique Chyba, Jérémy Rouot
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-94791-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-94790-7Published: 11 August 2018
eBook ISBN: 978-3-319-94791-4Published: 27 July 2018
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XV, 108
Number of Illustrations: 7 b/w illustrations, 40 illustrations in colour
Topics: Calculus of Variations and Optimal Control; Optimization, Neurosciences, Applications of Mathematics, Mathematical Modeling and Industrial Mathematics, Computer Appl. in Life Sciences