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  • © 1990

Nonlinear Dynamical Control Systems

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 1-19
  3. Manifolds, Vectorfields, Lie Brackets, Distributions

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 21-65
  4. Controllability and Observability, Local Decompositions

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 67-105
  5. Input-Output Representations

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 107-133
  6. State Space Transformations and Feedback

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 135-159
  7. Feedback Linearization of Nonlinear Systems

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 161-192
  8. Controlled Invariant Distributions and the Disturbance Decoupling Problem

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 193-221
  9. The Input-Output Decoupling Problem

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 223-250
  10. The Input-Output Decoupling Problem: Geometric Considerations

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 251-272
  11. Local Stability and Stabilization of Nonlinear Systems

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 273-293
  12. Controlled Invariant Submanifolds and Nonlinear Zero Dynamics

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 295-317
  13. Mechanical Nonlinear Control Systems

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 319-363
  14. Controlled Invariance and Decoupling for General Nonlinear Systems

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 365-397
  15. Discrete-Time Nonlinear Control Systems

    • Henk Nijmeijer, Arjan van der Schaft
    Pages 399-421
  16. Back Matter

    Pages 423-426

About this book

This book has recently been  retypeset in LaTeX for clearer presentation.



This textbook on the differential geometric approach to nonlinear control grew out of a set of lecture notes, which were prepared for a course on nonlinear system theory, given by us for the first time during the fall semester of 1988. The audience consisted mostly of graduate students , taking part in the Dutch national Graduate Program on Systems and Control.The course gives a general introduction to modern nonlinear control theory (with an emphasis on the differential geometric approach), as well as providing students specializing in nonlinear control theory with a firm starting point for doing research in this area. One of the authors' primary objectives is to give a self-contained treatment of all the topics covered. Although the amount of work published on nonlinear geometric control theory is expanding rapidly expanding, the authors confine themselves to treating solid and clear-cut achievements of modern nonlinear control, which can be expected to be of remaining interest. The final selection of topics reflects the authors' own judgement of their importance.

Authors and Affiliations

  • Eindhoven University of Technology, Eindhoven, The Netherlands

    Henk Nijmeijer

  • University of Groningen, Groningen, The Netherlands

    Arjan Schaft

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access