An Introduction to Infinite-Dimensional Linear Systems Theory

  • Ruth F. Curtain
  • Hans Zwart

Part of the Texts in Applied Mathematics book series (TAM, volume 21)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Ruth F. Curtain, Hans Zwart
    Pages 1-12
  3. Ruth F. Curtain, Hans Zwart
    Pages 13-100
  4. Ruth F. Curtain, Hans Zwart
    Pages 101-140
  5. Ruth F. Curtain, Hans Zwart
    Pages 141-214
  6. Ruth F. Curtain, Hans Zwart
    Pages 215-268
  7. Ruth F. Curtain, Hans Zwart
    Pages 269-334
  8. Ruth F. Curtain, Hans Zwart
    Pages 335-386
  9. Ruth F. Curtain, Hans Zwart
    Pages 387-456
  10. Ruth F. Curtain, Hans Zwart
    Pages 457-563
  11. Back Matter
    Pages 665-698

About this book

Introduction

Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.

Keywords

differential equation functional analysis minimum optimal control systems theory

Authors and affiliations

  • Ruth F. Curtain
    • 1
  • Hans Zwart
    • 2
  1. 1.Department of MathematicsUniversity of GroningenGroningenThe Netherlands
  2. 2.Faculty of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4224-6
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8702-5
  • Online ISBN 978-1-4612-4224-6
  • Series Print ISSN 0939-2475
  • About this book