Stability Theory

Hurwitz Centenary Conference Centro Stefano Franscini, Ascona, 1995

  • Rolf Jeltsch
  • Mohamed Mansour
Conference proceedings

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 121)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Stability theory

    1. Alessandro Beghi, Antonio Lepschy, Umberto Viaro
      Pages 1-10
    2. Bo Bernhardsson, Anders Rantzer, Li Qiu
      Pages 11-18
    3. Henryk Górecki, Maciej Szymkat, Mieczyslaw Zaczyk
      Pages 33-42
    4. L. Atanassova, D. Hinrichsen, V. L. Kharitonov
      Pages 43-52
    5. F. J. Kraus, M. Mansour, M. Sebek
      Pages 67-74
    6. Hari C. Reddy, P. K. Rojan, George S. Moschytz
      Pages 75-85
    7. Eduardo D. Sontag, Héctor J. Sussmann
      Pages 87-96
    8. Roland Strietzel
      Pages 97-106
  3. Robust Stability

  4. Numerics

About these proceedings

Introduction

This book contains the historical development of the seminal paper of Adolf Hurwitz, professor in mathematics at ETH (1892~1919), and its impact on other fields. The major emphasis, however, is on modern results in stability theory and its application in the theory of control and numerics. In particular, stability of the following problems is treated: linear, nonlinear and time-dependent systems, discretizations of ordinary and partial differential equations, systems with time delay on multidimensional systems. In addition robust stability, pole placement and problems related to the stability radius are treated. The book is an outgrowth of the international conference "Centennial Hurwitz on Stability Theory" which was held to honor Adolf Hurwitz, whose arti­ cle on the location of roots of a polynomial was published one hundred years ago. The conference took place at the Centro Stefano Franscini, Monte Verita, Ascona, Switzerland, on May 21~26, 1995. This book contains a collection of the papers and open problem:; discussed all that occasion. Leading researchers from allover the world working on stability theory and its application were invited to present their recent results. In one paper the historic development initiated by Hurwitz's article was discussed.

Keywords

Hadamard approximation control system control theory differential equation functions fuzzy index theory information minimum network neural networks numerical method numerics partial differential equation

Editors and affiliations

  • Rolf Jeltsch
    • 1
  • Mohamed Mansour
    • 2
  1. 1.Seminar for Applied MathematicsETH ZentrumZürichSwitzerland
  2. 2.Automatic Control LaboratoryETH ZentrumZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-9208-7
  • Copyright Information Birkhäuser Basel 1996
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9945-1
  • Online ISBN 978-3-0348-9208-7
  • About this book
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