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Operators, Systems and Linear Algebra

Three Decades of Algebraic Systems Theory

  • Textbook
  • © 1997

Overview

Editors:
  1. Uwe Helmke

    1. Universität Würzburg, Germany

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  2. Dieter Prätzel-Wolters

    1. Universität Kaiserslautern, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Eva Zerz

    1. Universität Kaiserslautern, Germany

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Part of the book series: European Consortium for Mathematics in Industry (XECMI)

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Table of contents (17 chapters)

  1. Front Matter

    Pages 1-10
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  2. Introduction

    • Uwe Helmke, Dieter Prätzel-Wolters, Eva Zerz
    Pages 11-15

  3. On the Approximation of Hankel Matrices

    • A. C. Antoulas
    Pages 17-22

  4. The Reduction of Multiplicity in Systems Modeling

    • Tomas Björk, Andrea Gombani
    Pages 23-32

  5. A Rational Flow for the Toda Lattice Equations

    • Roger W. Brockett
    Pages 33-44

  6. On Output-Stabilizability and Detectability of Discrete-Time LQ-Optimal Control Systems

    • Frank M. Callier
    Pages 45-55

  7. Matrix Pairs and 2D Systems Analysis

    • Ettore Fornasini, Giovanni Marchesini, Maria Elena Valcher
    Pages 56-69

  8. Spectral Minimality of J-Positive Linear Systems of Finite Order

    • Aurelian Gheondea, Raimund J. Ober
    Pages 70-80

  9. State Feedback in General Discrete-Time Systems

    • Malo L. J. Hautus
    Pages 81-95

  10. Nonblocking Supervisory Control of Nondeterministic Systems

    • Michael Heymann, Feng Lin
    Pages 96-110

  11. Noncommutative Power Series and Formal Lie-algebraic Techniques in Nonlinear Control Theory

    • Matthias Kawski, Héctor J. Sussmann
    Pages 111-128

  12. Recent Progress on the Partial Stochastic Realization Problem

    • Anders Lindquist
    Pages 129-137

  13. Generalized Partial Realizations

    • W. Manthey, U. Helmke, D. Hinrichsen
    Pages 138-156

  14. Oblique Splitting Subspaces and Stochastic Realization with Inputs

    • Giorgio Picci
    Pages 157-174

  15. Lyapunov Revisited: Variations on a Matrix Theme

    • Hans Schneider
    Pages 175-181

  16. Linear Systems and Discontinuous Dynamics

    • J. M. Schumacher
    Pages 182-195

  17. Differential Invariants and Curvature Flows in Active Vision

    • Allen Tannenbaum, Anthony Yezzi Jr.
    Pages 196-213

  18. On the Convergence of the Newton Iteration for Spectral Factorization

    • Jan C. Willems
    Pages 214-223

  19. Back Matter

    Pages 224-224
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Keywords

About this book

This book is a compilation of the results of an international workshop on Operators, Systems and Linear Algebra. It contains contributions of several outstanding researchers in the area of mathematical systems theory and its applications, covering recent results as well as survery articles. These present a retrospect of the past three decades of algebraic systems theory and provide outlooks on the future development of the field. The book offers a wide range of theoretical and applied topics, with emphasis on computational aspects and relations to practical problems. Contents Introduction / On the Approximation of Hankel Matrices / The Reduction of Multiplicity in Systems Modeling / A Rational Flow for the Toda Lattice Equations / On Output-Stabilizability and Detectability of Discrete-Time / Matrix Pairs and 2D Systems Analysis / Spectral Minimality of J-Positive Linear Systems of Finite Order / State Feedback in General Discrete-Time Systems / Nonblocking Supervisory Control of Nondeterministic Systems / Noncommunitative Power Series and Formal Lie-Algebraic Techniques in Nonlinear Control Theory / Recent Progress on the Partial Stochastic Realization Problem / Generalized Partial Realizations / Oblique Splitting Subspaces and Stochastic Realization with Inputs / Lyapunov Revisited: Variations on a Matrix Theme / Linear Systems and Discontinuous Dynamics / Differential Invariants and Curvature Flows in Active Vision / On the Convergence of the Newton Iteration for Spectral Factorization Note:More information on http://www.indmath.uni-linz.ac.at/www/ind/ecmi.html> ECMI

Editors and Affiliations

  • Universität Würzburg, Germany

    Uwe Helmke

  • Universität Kaiserslautern, Germany

    Dieter Prätzel-Wolters, Eva Zerz

Bibliographic Information

  • Book Title: Operators, Systems and Linear Algebra

  • Book Subtitle: Three Decades of Algebraic Systems Theory

  • Editors: Uwe Helmke, Dieter Prätzel-Wolters, Eva Zerz

  • Series Title: European Consortium for Mathematics in Industry

  • DOI: https://doi.org/10.1007/978-3-663-09823-2

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1997

  • Softcover ISBN: 978-3-663-09824-9Published: 23 August 2014

  • eBook ISBN: 978-3-663-09823-2Published: 02 July 2013

  • Series ISSN: 1437-2967

  • Edition Number: 1

  • Number of Pages: 224

  • Topics: Engineering, general

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