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

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...

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Hlavní autor: Bonnard, Bernard (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:SpringerBriefs in Mathematics,
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ISBN:9783319947914
ISSN:2191-8198
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245 1 0 |a Geometric and Numerical Optimal Control  |h [electronic resource] :  |b Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging /  |c by Bernard Bonnard, Monique Chyba, Jérémy Rouot. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XV, 108 p. 47 illus., 40 illus. in color.  |b online resource. 
490 1 |a SpringerBriefs in Mathematics,  |x 2191-8198 
500 |a Mathematics and Statistics  
505 0 |a 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. 
516 |a text file PDF 
520 |a 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. 
650 0 |a Calculus of variations. 
650 0 |a Neurosciences. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Mathematical models. 
650 0 |a Bioinformatics . 
650 0 |a Computational biology . 
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