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Optimal Syntheses for Control Systems on 2-D Manifolds(English, Paperback, Boscain Ugo) is written by Boscain Ugo and published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG. It's available with International Standard Book Number or ISBN identification 3540203060 (ISBN 10) and 9783540203063 (ISBN 13).
This monograph is the first devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The first chapter outlines book results and examples of applicability. Then a quick introduction to geometric methods in control theory is provided. The following chapters contain a deep analysis of single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated. The volume is suitable for a graduate level one-semester course on optimal syntheses theory for mathematicians or engineers with a solid mathematical background.