International Series of Numerical Mathematics

Stability Theory

Hurwitz Centenary Conference Centro Stefano Franscini, Ascona, 1995

Editors: Jeltsch, Rolf, Mansour, Mohamed (Eds.)

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About this book

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.

Table of contents (24 chapters)

Table of contents (24 chapters)
  • The Hurwitz Matrix and the Computation of second-order Information Indices

    Pages 1-10

    Beghi, Alessandro (et al.)

  • A Summary on the Real Stability Radius and Real Perturbation Values

    Pages 11-18

    Bernhardsson, Bo (et al.)

  • The Hadamard Factorization of Hurwitz and Schur stable Polynomials

    Pages 19-21

    Garloff, J. (et al.)

  • On the Cauchy index of a real rational function and the index theory of pseudo-lossless rational functions

    Pages 23-31

    Genin, Yves V.

  • A Generalization of the Orlando Formula — Symbolic Manipulation Approach

    Pages 33-42

    Górecki, Henryk (et al.)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-0348-9208-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-7643-5474-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-0348-9945-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stability Theory
Book Subtitle
Hurwitz Centenary Conference Centro Stefano Franscini, Ascona, 1995
Editors
  • Rolf Jeltsch
  • Mohamed Mansour
Series Title
International Series of Numerical Mathematics
Series Volume
121
Copyright
1996
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-9208-7
DOI
10.1007/978-3-0348-9208-7
Hardcover ISBN
978-3-7643-5474-9
Softcover ISBN
978-3-0348-9945-1
Series ISSN
0373-3149
Edition Number
1
Number of Pages
VII, 253
Topics