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Special Lectures

Geometric Optimal Control with Applications I(G30:Special Lectures III)

Hold Date
2015-06-18 16:40~2015-06-29 18:10
Place
Seminar Room 3, Faculty of Mathematics building / IMI, Ito Campus
Object person
students who take an interest in this lecture 
Speaker
Monique Chyba (University of Hawaii at Manoa)

Abstract:
Techniques of geometric optimal control theory can be applied to various problems such as the control of the spin dynamics by magnetic fields in Nuclear Magnetic Resonance (NMR) or the study of orbital transfer in space mechanics. Indeed, recent advancements on the study of spin dynamics strongly suggest the effciency of geometric control theory to analyze the optimal synthesis. First we will discuss controllability results such as Chow's theorem and the orbit theorem. A second goal will be to emphasize the intimate connections between the classical calculus of variations, the maximum principle and the Hamilton-Jacobi-Bellman theory. The maximum principle will occupy a good part of this course since it is one of the most important result in optimal control theory. The proof in the weak case will be given and application to the time minimal problem will be discussed.


Date:
June 18 (Thu) 16:40~18:10
June 22 (Mon) 13:00~18:10
June 24 (Wed) 16:40~18:10
June 25 (Thu) 16:40~
June 29 (Mon) 13:00~18:10