Advances in Time-Delay Systems

  • Silviu-Iulian Niculescu
  • Keqin Gu

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 38)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Basic Theory

    1. Front Matter
      Pages 1-1
    2. Sjoerd M. Verduyn Lunel
      Pages 3-27
  3. Stability and Robust Stability

  4. Control, Identification, and Observer Design

    1. Front Matter
      Pages 87-87
    2. Sabine Mondié, Jean Jacques Loiseau
      Pages 89-101
    3. Vladimir Răsvan, Dan Popescu
      Pages 103-110
    4. Frédéric Mazenc, Sabine Mondié, Silviu-Iulian Niculescu
      Pages 111-122
    5. Lotfi Belkoura, Michel Dambrine, Yuri Orlov, Jean-Pierre Richard
      Pages 123-135
  5. Computation, Software, and Implementation

    1. Front Matter
      Pages 153-153
    2. Alfredo Bellen, Marino Zennaro
      Pages 155-165
    3. Dirk Roose, Tatyana Luzyanina, Koen Engelborghs, Wim Michiels
      Pages 167-181
    4. Wim Michiels, Sabine Mondié, Dirk Roose, Michel Dambrine
      Pages 207-222

About these proceedings

Introduction

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.

Keywords

bifurcation communication control delay functional differential equations partial differential equation robust stability

Editors and affiliations

  • Silviu-Iulian Niculescu
    • 1
  • Keqin Gu
    • 2
  1. 1.Centre de Recherche de RoyallieuUniversite de Technologie de CompiègneCompiègneFrance
  2. 2.Department of Mechanical and Industrial EngineeringSouthern Illinois UniversityEdwardsvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-18482-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20890-7
  • Online ISBN 978-3-642-18482-6
  • Series Print ISSN 1439-7358
  • About this book
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