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Linear Algebra for Control Theory

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. Paul Dooren

    1. Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Bostwick Wyman

    1. Department of Mathematics, Ohio State University, Columbus, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 62)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Recursive Modeling of Discrete-Time Time Series

    • A. C. Antoulas
    Pages 1-20

  3. Pole Placement, Internal Stabilization and Interpolation Conditions for Rational Matrix Functions: A Grassmannian Formulation

    • Joseph A. Ball, Joachim Rosenthal
    Pages 21-29

  4. Feedback Stabilizibility over Commutative Rings

    • J. W. Brewer, L. C. Klingler, Wiland Schmale
    Pages 31-42

  5. Output Feedback in Descriptor Systems

    • Angelika Bunse-Gerstner, Volker Mehrmann, Nancy K. Nichols
    Pages 43-53

  6. On Realization Theory for Generalized State-Space Systems over a Commutative Ring

    • J. Daniel Cobb
    Pages 55-60

  7. Problems and Results in a Geometric Approach to the Theory of Systems over Rings

    • G. Conte, A. M. Perdon
    Pages 61-74

  8. Completion of a Matrix so that the Inverse has Minimum Norm. Application to the Regularization of Descriptor Control Problems

    • L. Elsner, C. He, V. Mehrmann
    Pages 75-86

  9. On the Rutishauser’s Approach to Eigenvalue Problems

    • L. Faybusovich
    Pages 87-102

  10. The Block form of Linear Systems over Commutative Rings with Applications to Control

    • Edward W. Kamen
    Pages 103-116

  11. Diffeomorphisms between Sets of Linear Systems

    • R. Ober, P. A. Fuhrmann
    Pages 117-157

  12. Transfer Function Approach to Disturbance Decoupling Problem

    • Marek Rakowski
    Pages 159-176

  13. Some Numerical Challenges in Control Theory

    • Paul Van Dooren
    Pages 177-189

  14. Erratum

    • Joseph A. Ball, Joachim Rosenthal
    Pages 191-191
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About this book

During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra.
This book is suitable for both mathematicians and students.

Editors and Affiliations

  • Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, USA

    Paul Dooren

  • Department of Mathematics, Ohio State University, Columbus, USA

    Bostwick Wyman

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