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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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Detalles Bibliográficos
Autores principales: Bonnard, Bernard, Chyba, Monique, Rouot, Jérémy
Lenguaje:eng
Publicado: Springer 2018
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-94791-4
http://cds.cern.ch/record/2633924
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author Bonnard, Bernard
Chyba, Monique
Rouot, Jérémy
author_facet Bonnard, Bernard
Chyba, Monique
Rouot, Jérémy
author_sort Bonnard, Bernard
collection CERN
description 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.
id cern-2633924
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher Springer
record_format invenio
spelling cern-26339242021-04-21T18:44:56Zdoi:10.1007/978-3-319-94791-4http://cds.cern.ch/record/2633924engBonnard, BernardChyba, MoniqueRouot, JérémyGeometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imagingMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:26339242018
spellingShingle Mathematical Physics and Mathematics
Bonnard, Bernard
Chyba, Monique
Rouot, Jérémy
Geometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imaging
title Geometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imaging
title_full Geometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imaging
title_fullStr Geometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imaging
title_full_unstemmed Geometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imaging
title_short Geometric and numerical optimal control: application to swimming at low Reynolds number and magnetic resonance imaging
title_sort geometric and numerical optimal control: application to swimming at low reynolds number and magnetic resonance imaging
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-94791-4
http://cds.cern.ch/record/2633924
work_keys_str_mv AT bonnardbernard geometricandnumericaloptimalcontrolapplicationtoswimmingatlowreynoldsnumberandmagneticresonanceimaging
AT chybamonique geometricandnumericaloptimalcontrolapplicationtoswimmingatlowreynoldsnumberandmagneticresonanceimaging
AT rouotjeremy geometricandnumericaloptimalcontrolapplicationtoswimmingatlowreynoldsnumberandmagneticresonanceimaging