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Delay Effects on Stability

A Robust Control Approach

  • Book
  • © 2001

Overview

Authors:
  1. Silviu-Iulian Niculescu

    1. Centre de Recherche de Royallieu, Université de Technologie de Compiègne, Compiègne, Cedex

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  • Most of real systems react with a temporal delay to external forces
  • Topic of the book is the effect of such a delay on the stability of dynamical systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 269)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Preliminaries

    Pages 1-46

  3. Examples

    Pages 47-86

  4. Stability sets and regions

    Pages 87-130

  5. Reducible discrete delays and LTIs

    Pages 131-196

  6. Liapunov’s second method and LMIs

    Pages 197-252

  7. Robustness issues in closed-loop

    Pages 253-282

  8. Applications

    Pages 283-326

  9. Back Matter

    Pages 327-383
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Keywords

About this book

This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.

Authors and Affiliations

  • Centre de Recherche de Royallieu, Université de Technologie de Compiègne, Compiègne, Cedex

    Silviu-Iulian Niculescu

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