Geometric and Numerical Optimal Control [electronic resource] : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging /
Bonnard, Bernard.author.
Chyba, Monique.author.
Rouot, Jérémy.author.
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.
Includes bibliographical references.
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.
Calculus of variations.
Neurosciences.
Applied mathematics.
Engineering mathematics.
Mathematical models.
Bioinformatics .
Computational biology .
Calculus of Variations and Optimal Control; Optimization.
Neurosciences.
Applications of Mathematics.
Mathematical Modeling and Industrial Mathematics.
Computer Appl. in Life Sciences.