Optimal Syntheses for Control Systems on 2-D Manifolds

Häftad, Engelska, 2003

Del 43 i serien Mathématiques et Applications

542 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2003-11-26
Mått:155 x 235 x 16 mm
Vikt:429 g
Format:Häftad
Språk:Engelska
Serie:Mathématiques et Applications
Antal sidor:262
Upplaga:2004
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540203063

Utforska kategorier

Elektronik och kommunikationer inom Naturvetenskap och teknik

Recensioner i media

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)

Innehållsförteckning

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 Chapter 2.- B. Bidimensional Sources.- References.- Index.