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Mathématiques et Applications
cover

Optimal Syntheses for Control Systems on 2-D Manifolds

Authors: Boscain, Ugo, Piccoli, Benedetto

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  • ISBN 978-3-540-20306-3
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About this Textbook

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)


Buy this book

Softcover $64.95
price for USA in USD
  • ISBN 978-3-540-20306-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Optimal Syntheses for Control Systems on 2-D Manifolds
Authors
Series Title
Mathématiques et Applications
Series Volume
43
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Softcover ISBN
978-3-540-20306-3
Series ISSN
1154-483X
Edition Number
1
Number of Pages
XIV, 262
Topics