Lecture Notes in Computational Science and Engineering

Advances in Time-Delay Systems

Editors: Niculescu, Silviu-Iulian, Gu, Keqin (Eds.)

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About this book

In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe­ rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of­ tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho­ dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora­ ted perfonnances for the corresponding closed-loop systems.

Table of contents (29 chapters)

Table of contents (29 chapters)
  • Basic Theory for Linear Delay Equations

    Verduyn Lunel, Sjoerd M.

    Pages 3-27

  • Complete Type Lyapunov-Krasovskii Functionals

    Kharitonov, Vladimir L.

    Pages 31-42

  • Robust Stability Conditions of Quasipolynomials by Frequency Sweeping

    Chen, Jie (et al.)

    Pages 43-60

  • Improvements on the Cluster Treatment of Characteristic Roots and the Case Studies

    Sipahi, Rifat (et al.)

    Pages 61-73

  • From Lyapunov-Krasovskii Functionals for Delay-Independent Stability to LMI Conditions for µ-Analysis

    Bliman, Pierre-Alexandre

    Pages 75-85

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-642-18482-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $199.99
price for USA in USD
  • ISBN 978-3-540-20890-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Time-Delay Systems
Editors
  • Silviu-Iulian Niculescu
  • Keqin Gu
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
38
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18482-6
DOI
10.1007/978-3-642-18482-6
Softcover ISBN
978-3-540-20890-7
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XIV, 452
Topics