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Optimal Syntheses for Control Systems on 2-D Manifolds

  • Textbook
  • © 2004

Overview

Authors:
  1. Ugo Boscain

    1. Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy

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  2. Benedetto Piccoli

    1. Consiglio Nazionale delle Ricerche (CNR) Ist. Applicazioni Calcolo Mauro Picone, Roma, Italy

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    You can also search for this author in PubMed   Google Scholar

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

  • Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy

    Ugo Boscain

  • Consiglio Nazionale delle Ricerche (CNR) Ist. Applicazioni Calcolo Mauro Picone, Roma, Italy

    Benedetto Piccoli

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

  • 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

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