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＜電子ブック＞
Geometric and Numerical Optimal Control : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging / by Bernard Bonnard, Monique Chyba, Jérémy Rouot
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
本文言語	英語
大きさ	XV, 108 p. 47 illus., 40 illus. in color : online resource
著者標目	*Bonnard, Bernard author Chyba, Monique author Rouot, Jérémy author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Neurosciences LCSH:Mathematics LCSH:Mathematical models LCSH:Bioinformatics FREE:Calculus of Variations and Optimization FREE:Neuroscience FREE:Applications of Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Computational and Systems Biology
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-94791-4

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