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Linear System Theory

  • Textbook
  • © 1991

Overview

Authors:
  1. Frank M. Callier

    1. Department of Mathematics, Facultés Universitaires Notre-Dame de la Paix, Namur, Belgium

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  2. Charles A. Desoer

    1. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Frank M. Callier, Charles A. Desoer
    Pages 1-4

  3. The System Representation R(·) =[A(·), B(·), C(·), D(·)]

    • Frank M. Callier, Charles A. Desoer
    Pages 5-54

  4. The Discrete-Time System RepresentationR d (·)=[A(·),B(·),C(·),D(·)]

    • Frank M. Callier, Charles A. Desoer
    Pages 55-67

  5. The System RepresentationR =[A,B,C,D], Part I

    • Frank M. Callier, Charles A. Desoer
    Pages 68-94

  6. The Discrete-Time System Representation R d=[A,B,C,D]

    • Frank M. Callier, Charles A. Desoer
    Pages 95-102

  7. The System Representation R=[A,B,C,D], Part II

    • Frank M. Callier, Charles A. Desoer
    Pages 103-139

  8. General System Concepts

    • Frank M. Callier, Charles A. Desoer
    Pages 140-159

  9. Sampled Data Systems

    • Frank M. Callier, Charles A. Desoer
    Pages 160-172

  10. Stability

    • Frank M. Callier, Charles A. Desoer
    Pages 173-203

  11. Stability: The Discrete-Time Case

    • Frank M. Callier, Charles A. Desoer
    Pages 204-221

  12. Controllability and Observability

    • Frank M. Callier, Charles A. Desoer
    Pages 222-264

  13. Controllability and Observability. The Discrete-Time Case

    • Frank M. Callier, Charles A. Desoer
    Pages 265-294

  14. Realization Theory

    • Frank M. Callier, Charles A. Desoer
    Pages 295-314

  15. Linear State Feedback and Estimation

    • Frank M. Callier, Charles A. Desoer
    Pages 315-355

  16. Unity Feedback Systems

    • Frank M. Callier, Charles A. Desoer
    Pages 356-402

  17. Back Matter

    Pages 403-509
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Facultés Universitaires Notre-Dame de la Paix, Namur, Belgium

    Frank M. Callier

  • Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA

    Charles A. Desoer

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