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  • © 2002

Geometric, Control and Numerical Aspects of Nonholonomic Systems

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
  2. 1. Introduction

    • Jorge Cortés Monforte
    Pages 1-12
  3. 2. Basic geometric tools

    • Jorge Cortés Monforte
    Pages 13-37
  4. 3. Nonholonomic systems

    • Jorge Cortés Monforte
    Pages 39-61
  5. 4. Symmetries of nonholonomic systems

    • Jorge Cortés Monforte
    Pages 63-102
  6. 5. Chaplygin systems

    • Jorge Cortés Monforte
    Pages 103-120
  7. 6. A class of hybrid nonholonomic systems

    • Jorge Cortés Monforte
    Pages 121-140
  8. 7. Nonholonomic integrators

    • Jorge Cortés Monforte
    Pages 141-170
  9. 8. Control of mechanical systems

    • Jorge Cortés Monforte
    Pages 171-202
  10. References

    • Jorge Cortés Monforte
    Pages 203-216
  11. Index

    • Jorge Cortés Monforte
    Pages 217-219
  12. Back Matter

    Pages 203-224

About this book

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access