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Optimal Syntheses for Control Systems on 2-D Manifolds : Mathimatiques Et Applications - Ugo Boscain

Optimal Syntheses for Control Systems on 2-D Manifolds

Mathimatiques Et Applications

Paperback Published: 26th November 2003
ISBN: 9783540203063
Number Of Pages: 262

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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.

Industry 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)

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540203063
ISBN-10: 3540203060
Series: Mathimatiques Et Applications
Audience: General
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): 23.39 x 15.6  x 1.52
Weight (kg): 0.4