Volume 5 ISBN10: 1601330138; ISBN13: 9781601330130<< PREV

Optimal Control with Applications in Space and Quantum Dynamics
By Bernard Bonnard and Dominique Sugny
Several complete textbooks of mathematics on geometric optimal control
theory exist in the literature, but little has been done with relevant applications in control engineering. This monograph is intended to fill this gap. It
is based on graduate courses for mathematicians and physicists and presents
results from two research projects in space mechanics and quantum control.
The main topics developed in this book are:
Geometric optimal control theory: Pontryagin Maximum Principle and
second order necessary and sufficient optimality conditions
Extensions of Riemannian geometry in optimal control theory
Optimal control in space mechanics
Application to the orbital transfer between elliptic orbits in the two
and three body problem
Optimal control of dissipative quantum systems
Application in Nuclear Magnetic Resonance and Magnetic Resonance
Imaging
Book Order Information
Contents Author Bio.
The presentation is selfcontained and readers can use our techniques to
perform similar analysis in their own problems. Numerical tools have been
developed in parallel during the research projects (shooting and
continuation methods) and the codes are freely available at
http://apo.enseeiht.fr/hampath/contacts.html
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