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An Introduction to Infinite-Dimensional Linear Systems Theory

  • Textbook
  • © 1995

Overview

Authors:
  1. Ruth F. Curtain

    1. Department of Mathematics, University of Groningen, Groningen, The Netherlands

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  2. Hans Zwart

    1. Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Introduction

    • Ruth F. Curtain, Hans Zwart
    Pages 1-12

  3. Semigroup Theory

    • Ruth F. Curtain, Hans Zwart
    Pages 13-100

  4. The Cauchy Problem

    • Ruth F. Curtain, Hans Zwart
    Pages 101-140

  5. Inputs and Outputs

    • Ruth F. Curtain, Hans Zwart
    Pages 141-214

  6. Stability, Stabilizability, and Detectability

    • Ruth F. Curtain, Hans Zwart
    Pages 215-268

  7. Linear Quadratic Optimal Control

    • Ruth F. Curtain, Hans Zwart
    Pages 269-334

  8. Frequency-Domain Descriptions

    • Ruth F. Curtain, Hans Zwart
    Pages 335-386

  9. Hankel Operators and the Nehari Problem

    • Ruth F. Curtain, Hans Zwart
    Pages 387-456

  10. Robust Finite-Dimensional Controller Synthesis

    • Ruth F. Curtain, Hans Zwart
    Pages 457-563

  11. Back Matter

    Pages 665-698
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University of Groningen, Groningen, The Netherlands

    Ruth F. Curtain

  • Faculty of Applied Mathematics, University of Twente, Enschede, The Netherlands

    Hans Zwart

Bibliographic Information

  • Book Title: An Introduction to Infinite-Dimensional Linear Systems Theory

  • Authors: Ruth F. Curtain, Hans Zwart

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4224-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-94475-3Published: 23 June 1995

  • Softcover ISBN: 978-1-4612-8702-5Published: 01 March 2013

  • eBook ISBN: 978-1-4612-4224-6Published: 06 December 2012

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 1

  • Number of Pages: XVIII, 698

  • Topics: Analysis

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