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Optimal Syntheses for Control Systems on 2-D Manifolds : Mathematiques et Applications - Ugo Boscain

Optimal Syntheses for Control Systems on 2-D Manifolds

Mathematiques et Applications

Paperback

Published: 26th November 2003
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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.

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)

Introduction
Geometric Control
Time Optimal Synthesis for 2-D Systems
Generic Properties of the Minimum Time Function
Extremal Synthesis
Projection Singularities
A. Some Technical Proofs of
B. Bidimensional Sources
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540203063
ISBN-10: 3540203060
Series: Mathematiques et Applications
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 262
Published: 26th November 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.52
Weight (kg): 0.89