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Geometric and Numerical Optimal Control : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging / / by Bernard Bonnard, Monique Chyba, Jérémy Rouot



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Autore: Bonnard Bernard Visualizza persona
Titolo: Geometric and Numerical Optimal Control : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging / / by Bernard Bonnard, Monique Chyba, Jérémy Rouot Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Edizione: 1st ed. 2018.
Descrizione fisica: 1 online resource (XV, 108 p. 47 illus., 40 illus. in color.)
Disciplina: 515.64
Soggetto topico: Calculus of variations
Neurosciences
Applied mathematics
Engineering mathematics
Mathematical models
Bioinformatics 
Computational biology 
Calculus of Variations and Optimal Control; Optimization
Applications of Mathematics
Mathematical Modeling and Industrial Mathematics
Computer Appl. in Life Sciences
Persona (resp. second.): ChybaMonique
RouotJérémy
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Geometric and Numerical Optimal Control  Visualizza cluster
ISBN: 3-319-94791-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300113203321
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Serie: SpringerBriefs in Mathematics, . 2191-8198