Geometric and Numerical Optimal Control: Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging (SpringerBriefs in Mathematics)

Series: SpringerBriefs in Mathematics
Digital eBook: 124 pages
Publisher: Springer; 1st ed. 2018 edition (July 28, 2018)
Language: English

Name: Geometric and Numerical Optimal Control: Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging (SpringerBriefs in Mathematics)
SKU: 14711
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Description

Geometric and Numerical Optimal Control: Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging (SpringerBriefs in Mathematics)

by Bernard Bonnard (Author), Monique Chyba (Contributor), Jérémy Rouot (Contributor)

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.