Linear System Theory

  • Frank M. Callier
  • Charles A. Desoer

Part of the Springer Texts in Electrical Engineering book series (STELE)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Frank M. Callier, Charles A. Desoer
    Pages 1-4
  3. Frank M. Callier, Charles A. Desoer
    Pages 5-54
  4. Frank M. Callier, Charles A. Desoer
    Pages 55-67
  5. Frank M. Callier, Charles A. Desoer
    Pages 68-94
  6. Frank M. Callier, Charles A. Desoer
    Pages 95-102
  7. Frank M. Callier, Charles A. Desoer
    Pages 103-139
  8. Frank M. Callier, Charles A. Desoer
    Pages 140-159
  9. Frank M. Callier, Charles A. Desoer
    Pages 160-172
  10. Frank M. Callier, Charles A. Desoer
    Pages 173-203
  11. Frank M. Callier, Charles A. Desoer
    Pages 204-221
  12. Frank M. Callier, Charles A. Desoer
    Pages 222-264
  13. Frank M. Callier, Charles A. Desoer
    Pages 265-294
  14. Frank M. Callier, Charles A. Desoer
    Pages 295-314
  15. Frank M. Callier, Charles A. Desoer
    Pages 315-355
  16. Frank M. Callier, Charles A. Desoer
    Pages 356-402
  17. Back Matter
    Pages 403-509

About this book

Introduction

This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite­ dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy­ sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.

Keywords

MIMO Operator Transformation calculus construction development differential equation dynamische Systeme linear optimization optimization stability systems theory

Authors and affiliations

  • Frank M. Callier
    • 1
  • Charles A. Desoer
    • 2
  1. 1.Department of MathematicsFacultés Universitaires Notre-Dame de la PaixNamurBelgium
  2. 2.Department of Electrical Engineering and Computer SciencesUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0957-7
  • Copyright Information Springer Science+Business Media New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6961-8
  • Online ISBN 978-1-4612-0957-7
  • Series Print ISSN 1431-8482
  • About this book