Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathématiques et Applications (MATHAPPLIC, volume 43)
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Keywords
- 49J15, 49N35
- YellowSale2006
- control theory
- geometric control
- optimal control
- optimal syntheses
- singularity theory
About this book
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.
Reviews
From the reviews:
"This book provides an excellent illustration of concepts and methods of geometric optimal control at work. … This book is a welcome addition to a number of texts that treat the mathematical aspects of control theory from a geometric point of view … . accessible to the advanced, mathematically inclined graduate student and rewarding in their results. They provide plentiful and excellent material for a mathematically oriented graduate course on the topic … ." (Heinz Schaettler, SIAM Reviews, Vol. 47 (3), 2005)
Authors and Affiliations
Bibliographic Information
Book Title: Optimal Syntheses for Control Systems on 2-D Manifolds
Authors: Ugo Boscain, Benedetto Piccoli
Series Title: Mathématiques et Applications
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Softcover ISBN: 978-3-540-20306-3Published: 26 November 2003
Series ISSN: 1154-483X
Series E-ISSN: 2198-3275
Edition Number: 1
Number of Pages: XIV, 262