Geometric and Numerical Optimal Control

Beschreibung

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.

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.

Provides recent findings and state-of-art computational techniques in geometric control Analyzes the problem of micro-swimming in relation with sub-Riemannian geometry Presents the application of optimal control to medical resonance imaging

Autor*in

Bernard Bonnard

Themen in »Geometric and Numerical Optimal Control«

Optimal Control Calculus of Variations Swimming at Low Reynolds Number Magnetic Resonance Imaging Numerical Calculations

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