Operators, Systems and Linear Algebra

Three Decades of Algebraic Systems Theory

  • Uwe Helmke
  • Dieter Prätzel-Wolters
  • Eva Zerz

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

Table of contents

  1. Front Matter
    Pages 1-10
  2. Uwe Helmke, Dieter Prätzel-Wolters, Eva Zerz
    Pages 11-15
  3. A. C. Antoulas
    Pages 17-22
  4. Tomas Björk, Andrea Gombani
    Pages 23-32
  5. Roger W. Brockett
    Pages 33-44
  6. Ettore Fornasini, Giovanni Marchesini, Maria Elena Valcher
    Pages 56-69
  7. Aurelian Gheondea, Raimund J. Ober
    Pages 70-80
  8. Malo L. J. Hautus
    Pages 81-95
  9. Michael Heymann, Feng Lin
    Pages 96-110
  10. W. Manthey, U. Helmke, D. Hinrichsen
    Pages 138-156
  11. J. M. Schumacher
    Pages 182-195
  12. Allen Tannenbaum, Anthony Yezzi Jr.
    Pages 196-213
  13. Back Matter
    Pages 224-224

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> ECMI


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Editors and affiliations

  • Uwe Helmke
    • 1
  • Dieter Prätzel-Wolters
    • 2
  • Eva Zerz
    • 2
  1. 1.Universität WürzburgGermany
  2. 2.Universität KaiserslauternGermany

Bibliographic information

  • DOI
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 1997
  • Publisher Name Vieweg+Teubner Verlag, Wiesbaden
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-663-09824-9
  • Online ISBN 978-3-663-09823-2
  • Series Print ISSN 1437-2967
  • Buy this book on publisher's site
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