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Geometric, Control and Numerical Aspects of Nonholonomic Systems

  • Authors
  • Jorge Cortés Monforte

Part of the Lecture Notes in Mathematics book series (LNM, volume 1793)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Jorge Cortés Monforte
    Pages 1-12
  3. Jorge Cortés Monforte
    Pages 13-37
  4. Jorge Cortés Monforte
    Pages 39-61
  5. Jorge Cortés Monforte
    Pages 63-102
  6. Jorge Cortés Monforte
    Pages 103-120
  7. Jorge Cortés Monforte
    Pages 121-140
  8. Jorge Cortés Monforte
    Pages 141-170
  9. Jorge Cortés Monforte
    Pages 171-202
  10. Jorge Cortés Monforte
    Pages 203-216
  11. Jorge Cortés Monforte
    Pages 217-219
  12. Back Matter
    Pages 203-224

About this book

Introduction

Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Keywords

Geometric Integration Geometric Mechanics Nonholomonic Systems Nonlinear Control Theory Symmetry and Reduction linear optimization mechanics

Bibliographic information

  • DOI https://doi.org/10.1007/b84020
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-44154-0
  • Online ISBN 978-3-540-45730-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site