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Nonlinear Systems

Analysis, Stability, and Control

  • Shankar Sastry

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 10)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Shankar Sastry
    Pages 1-30
  3. Shankar Sastry
    Pages 31-75
  4. Shankar Sastry
    Pages 76-126
  5. Shankar Sastry
    Pages 127-181
  6. Shankar Sastry
    Pages 182-234
  7. Shankar Sastry
    Pages 235-286
  8. Shankar Sastry
    Pages 287-348
  9. Shankar Sastry
    Pages 349-383
  10. Shankar Sastry
    Pages 384-448
  11. Shankar Sastry
    Pages 449-509
  12. Shankar Sastry
    Pages 510-573
  13. Shankar Sastry
    Pages 574-640
  14. Shankar Sastry
    Pages 641-644
  15. Back Matter
    Pages 645-669

About this book

Introduction

There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop­ ment of a comprehensive theory of geometric nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available for both the simulation and visualization of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances havebolstered the impact of analytic advances and produced a tremendous variety of new problems and applications that are nonlinear in an essential way. Nonlinear controllaws have been implemented for sophisticated flight control systems on board helicopters, and vertical take offand landing aircraft; adaptive, nonlinearcontrollaws havebeen implementedfor robot manipulators operating either singly, or in cooperation on a multi-fingered robot hand; adaptive control laws have been implemented forjetengines andautomotive fuel injection systems, as well as for automated highway systems and air traffic management systems, to mention a few examples. Bifurcation theory has been used to explain and understand the onset of fiutterin the dynamics of aircraft wing structures, the onset of oscillations in nonlinear circuits, surge and stall in aircraft engines, voltage collapse in a power transmission network.

Keywords

Nonlinear system bifurcation control dynamical system geometry nonlinear control

Authors and affiliations

  • Shankar Sastry
    • 1
  1. 1.Department of Electrical Engineering and Computer ScienceUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3108-8
  • Copyright Information Springer-Verlag New York 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3132-0
  • Online ISBN 978-1-4757-3108-8
  • Series Print ISSN 0939-6047
  • Buy this book on publisher's site