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Linear Time-Invariant Systems, Behaviors and Modules

Book
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Part of the Differential-Algebraic Equations Forum book series (DAEF)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 1-5
  3. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 7-54
  4. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 55-117
  5. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 119-157
  6. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 159-214
  7. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 215-279
  8. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 281-302
  9. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 303-498
  10. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 499-534
  11. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 535-638
  12. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 639-653
  13. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 655-720
  14. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages 721-742
  15. Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
    Pages C1-C1
  16. Back Matter
    Pages 743-750

About this book

Introduction

This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.

Keywords

linear time-invariant system transfer matrix schwartz distribution impulse response laplace transform electrical network stabilizing compensator fractional calculus

Authors and affiliations

  1. 1.Department of MathematicsUniversity of InnsbruckInnsbruckAustria
  2. 2.Seefeld in TirolAustria
  3. 3.Seefeld in TirolAustria

About the authors

ULRICH OBERST is Professor Emeritus at the University of Innsbruck, Austria. Earlier, he was professor of mathematics at the same university from 1972–2009. He completed his Ph.D. in Mathematics from the University of Munich, Germany, in 1965, under the guidance of Prof. F. Kasch who, in particular, taught injective co-generators—a notion from homological algebra which plays an important part in the present book.  He has visited a number of universities in several countries on invitations, including Pennsylvania State University, USA, University of California San Diego, USA, University of Chicago, USA, University of Florida, USA, and University of Rome II, Italy. His areas of interest include algebra and applied mathematics with special emphasis on constructive methods, in particular multidimensional linear systems theory and  discrete Gelfand, Fourier and Hartley transforms. A father of two and grandfather of six, Prof. Oberst is happily married to Karla. He is also an experienced piano player and has participated in two chamber music ensembles, playing piano trios, quartets and quintets with, in particular, string players from the Tyrolean Symphony Orchestra Innsbruck.

Bibliographic information

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