Skip to main content
SpringerLink
Log in
Birkhäuser

The State Space Method

Generalizations and Applications

  • Book
  • © 2006

Overview

Editors:
  1. Daniel Alpay

    1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Israel Gohberg

    1. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • First volume in the new subseries "Linear Operators and Linear Systems" of "Operator Theory: Advances and Applications"; edited by D. Alpay, J.A. Ball and A.M.C. Ran
  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 161)

Part of the book sub series: Linear Operators and Linear Systems (LOLS)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

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

    • Daniel Alpay, Israel Gohberg
    Pages 1-47

  3. Matrix-J-unitary Non-commutative Rational Formal Power Series

    • D. Alpay, D.S. Kalyuzhnyı-Verbovetzkiı
    Pages 49-113

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

    • Damir Z. Arov, Olof J. Staffans
    Pages 115-177

  5. Conservative Structured Noncommutative Multidimensional Linear Systems

    • Joseph A. Ball, Gilbert Groenewald, Tanit Malakorn
    Pages 179-223

  6. The Bezout Integral Operator: Main Property and Underlying Abstract Scheme

    • I. Gohberg, I. Haimovici, M.A. Kaashoek, L. Lerer
    Pages 225-270
Back to top

Keywords

About this book

Thisvolumeofthe Operator Theory: Advances and Applications series (OTAA) isthe ?rst volume of a new subseries. This subseries is dedicated to connections between the theory of linear operators and the mathematical theory of linear systems and is named Linear Operators and Linear Systems (LOLS).Asthe- isting subseries Advances in Partial Di?erential Equations (ADPE), the new s- series will continue the traditions of the OTAA series and keep the high quality of the volumes. The editors of the new subseries are: Daniel Alpay (Beer–Sheva, - rael), Joseph Ball (Blacksburg, Virginia, USA) and Andr´ ´ e Ran (Amsterdam, The Netherlands). In the last 25–30 years, Mathematical System Theory developed in an ess- tial way. A large part of this development was connected with the use of the state space method. Let us mention for instance the “theory of H control”. The state ? space method allowed to introduce in system theory the modern tools of matrix and operator theory. On the other hand the state space approach had an imp- tant impact on Algebra, Analysis and Operator Theory. In particular it allowed to solve explicitly some problems from interpolation theory, theory of convolution equations, inverse problems for canonical di?erential equations and their discrete analogs. All these directions are planned to be present in the subseries LOLS. The editors and the publisher are inviting authors to submit their manuscripts for publication in this subseries.

Editors and Affiliations

  • Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Daniel Alpay

  • School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation