Linear, Time-varying Approximations to Nonlinear Dynamical Systems

with Applications in Control and Optimization

  • María Tomás-Rodríguez
  • Stephen P. Banks

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 411)

Table of contents

  1. Front Matter
  2. María Tomás-Rodríguez, Stephen P. Banks
    Pages 1-10
  3. María Tomás-Rodríguez, Stephen P. Banks
    Pages 11-28
  4. María Tomás-Rodríguez, Stephen P. Banks
    Pages 29-60
  5. María Tomás-Rodríguez, Stephen P. Banks
    Pages 61-74
  6. María Tomás-Rodríguez, Stephen P. Banks
    Pages 75-100
  7. María Tomás-Rodríguez, Stephen P. Banks
    Pages 101-121
  8. María Tomás-Rodríguez, Stephen P. Banks
    Pages 123-139
  9. María Tomás-Rodríguez, Stephen P. Banks
    Pages 141-150
  10. María Tomás-Rodríguez, Stephen P. Banks
    Pages 151-167
  11. María Tomás-Rodríguez, Stephen P. Banks
    Pages 169-194
  12. María Tomás-Rodríguez, Stephen P. Banks
    Pages 195-217
  13. María Tomás-Rodríguez, Stephen P. Banks
    Pages 219-228
  14. Back Matter

About this book

Introduction

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems.

Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Keywords

dynamical system nonlinear system optimal control optimization sliding mode control stability stability theory

Authors and affiliations

  • María Tomás-Rodríguez
    • 1
  • Stephen P. Banks
    • 2
  1. 1.School of Engineering & Mathematical Sciences, Northampton SquareCity University LondonLondonUnited Kingdom
  2. 2.Dept. Automatic Control & Systems EngineeringUniversity of SheffieldSheffieldUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-84996-101-1
  • Copyright Information Springer-Verlag London 2010
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-1-84996-100-4
  • Online ISBN 978-1-84996-101-1
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book