Linear Operators and Linear Systems

The State Space Method

Generalizations and Applications

Editors: Alpay, Daniel, Gohberg, Israel (Eds.)

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About this book

The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics.

The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations.

The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.

Table of contents (5 chapters)

  • Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Spectral Matrix Functions

    Alpay, Daniel (et al.)

    Pages 1-47

  • Matrix-J-unitary Non-commutative Rational Formal Power Series

    Alpay, D. (et al.)

    Pages 49-113

  • State/Signal Linear Time-Invariant Systems Theory, Part I: Discrete Time Systems

    Arov, Damir Z. (et al.)

    Pages 115-177

  • Conservative Structured Noncommutative Multidimensional Linear Systems

    Ball, Joseph A. (et al.)

    Pages 179-223

  • The Bezout Integral Operator: Main Property and Underlying Abstract Scheme

    Gohberg, I. (et al.)

    Pages 225-270

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-7643-7431-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-7643-7370-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
The State Space Method
Book Subtitle
Generalizations and Applications
Editors
  • Daniel Alpay
  • Israel Gohberg
Series Title
Linear Operators and Linear Systems
Series Volume
161
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7431-0
DOI
10.1007/3-7643-7431-4
Hardcover ISBN
978-3-7643-7370-2
Edition Number
1
Number of Pages
IX, 274
Topics