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Geometrical Methods for the Theory of Linear Systems

Proceedings of a NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics held at Harvard University, Cambridge, Mass., June 18–29, 1979

  • Conference proceedings
  • © 1980

Overview

Editors:
  1. Christopher I. Byrnes

    1. Harvard University, Cambridge, USA

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  2. Clyde F. Martin

    1. Dept. of Mathematics, Case Western Reserve University, Cleveland, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 62)

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Table of contents (8 papers)

  1. Front Matter

    Pages i-ix
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  2. Introduction to Geometrical Methods for the Theory of Linear Systems

    • C. Byrnes, M. Hazewinkel, C. Martin, Y. Rouchaleau
    Pages 1-84

  3. Algebraic and Geometric Aspects of the Analysis of Feedback Systems

    • Christopher I. Byrnes
    Pages 85-124

  4. (Fine) Moduli (Spaces) for Linear Systems: What are they and what are they Good for?

    • Michiel Hazewinkel
    Pages 125-193

  5. Grassmannian Manifolds, Riccati Equations and Feedback Invariants of Linear Systems

    • Clyde Martin
    Pages 195-211

  6. Commutative Algebra in System Theory

    • Y. Rouchaleau
    Pages 213-231

  7. Systems and Polynomial Matrices

    • H. H. Rosenbrock
    Pages 233-255

  8. Functional Models, Factorizations and Linear Systems

    • Paul A. Fuhrmann
    Pages 257-282

  9. Stochastic Systems and the Problem of State Space Realization

    • J. C. Willems, J. H. van Schuppen
    Pages 283-313

  10. Back Matter

    Pages 315-317
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Keywords

About this book

The lectures contained in this book were presented at Harvard University in June 1979. The workshop at which they were presented was the third such on algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years after the Ames meeting there was tremendous growth in the applications of algebraic geometry to systems theory and it was becoming clear that much of the algebraic systems theory was very closely related to the geometric systems theory. On this basis we felt that this was the right time to devote a workshop to the applications of algebra and algebraic geometry to linear systems theory. The lectures contained in this volume represent all but one of the tutorial lectures presented at the workshop. The lec­ ture of Professor Murray Wonham is not contained in this volume and we refer the interested to the archival literature. This workshop was jointly sponsored by a grant from Ames Research Center-NASA and a grant from the Advanced Study Institute Program of NATO. We greatly appreciate the financial support rendered by these two organizations. The American Mathematical Society hosted this meeting as part of their Summer Seminars in Applied Mathematics and will publish the companion volume of con­ tributed papers.

Editors and Affiliations

  • Harvard University, Cambridge, USA

    Christopher I. Byrnes

  • Dept. of Mathematics, Case Western Reserve University, Cleveland, USA

    Clyde F. Martin

Bibliographic Information

  • Book Title: Geometrical Methods for the Theory of Linear Systems

  • Book Subtitle: Proceedings of a NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics held at Harvard University, Cambridge, Mass., June 18–29, 1979

  • Editors: Christopher I. Byrnes, Clyde F. Martin

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-9082-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1980

  • Hardcover ISBN: 978-90-277-1154-0Published: 31 October 1980

  • Softcover ISBN: 978-94-009-9084-5Published: 12 October 2011

  • eBook ISBN: 978-94-009-9082-1Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: X, 318

  • Topics: Systems Theory, Control, Algebraic Geometry

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