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Topics in Time Delay Systems

Analysis, Algorithms and Control

  • Book
  • © 2009

Overview

Editors:
  1. Jean Jacques Loiseau

    1. Ecole Centrale de Nantes, Nantes, France

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  2. Wim Michiels

    1. Katholieke Universiteit, Leuven, Belgium

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  3. Silviu-Iulian Niculescu

    1. CNRSSupélec, Gif-sur-Yvette, France

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  4. Rifat Sipahi

    1. Northeastern University, Boston, USA

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  • Analyses highly complex time delay models (multiple, time-varying, and distributed delays; differential-difference, multivariable, and distributed systems)

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 388)

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Table of contents (34 chapters)

  1. Front Matter

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  2. Analysis and Methodology

    1. Front Matter

      Pages 1-1
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    2. On Moment Stability of Linear Systems with a Stochastic Delay Variation

      • Erik I. Verriest, Wim Michiels
      Pages 3-13

    3. Stability Analysis of Neutral Systems: A Delay-Dependent Criterion

      • Tudor C. Ionescu, Radu Ştefan
      Pages 15-24

    4. Frequency Stability Analysis of Linear Systems with General Distributed Delays

      • Vladimir L. Kharitonov, Sabine Mondié, Gilberto Ochoa
      Pages 25-36

    5. Robust Control for Multiple Time Delay MIMO Systems with Delay - Decouplability Concept

      • Kamran Turkoglu, Nejat Olgac
      Pages 37-47

    6. On Stability of Linear Retarded Distributed Parameter Systems of Parabolic Type

      • Yury Orlov, Emilia Fridman
      Pages 49-59

    7. Lyapunov Matrices for Neutral Type Time Delay Systems

      • Gilberto Ochoa, Juan E. Velázquez, Vladimir L. Kharitonov, Sabine Mondié
      Pages 61-71

    8. Stability of Coupled Differential-Difference Equations with Block Diagonal Uncertainty

      • Yi Liu, Hongfei Li, Keqin Gu
      Pages 73-83

    9. On Pole Assignment and Stabilizability of Neutral Type Systems

      • Rabah Rabah, Grigory M. Sklyar, Alexander V. Rezounenko
      Pages 85-93

  3. Numerical Methods and Algorithms

    1. Front Matter

      Pages 95-95
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    2. SOS Methods for Stability Analysis of Neutral Differential Systems

      • Matthew M. Peet, Catherine Bonnet, Hitay Özbay
      Pages 97-107

    3. Nonlinear Time-Delay Systems: A Polynomial Approach Using Ore Algebras

      • Miroslav Halás
      Pages 109-119

    4. Stable Periodic Solutions of Time Delay Systems Containing Hysteresis Nonlinearities

      • Alexander M. Kamachkin, Alexander V. Stepanov
      Pages 121-132

    5. SOS for Nonlinear Delayed Models in Biology and Networking

      • Antonis Papachristodoulou, Matthew M. Peet
      Pages 133-143

    6. TRACE-DDE: a Tool for Robust Analysis and Characteristic Equations for Delay Differential Equations

      • Dimitri Breda, Stefano Maset, Rossana Vermiglio
      Pages 145-155

    7. Analysis of Numerical Integration for Time Delay Systems

      • Alfredo Bellen, Stefano Maset
      Pages 157-166

    8. On Algebraic Simplifications of Linear Functional Systems

      • Thomas Cluzeau, Alban Quadrat
      Pages 167-178

    9. OreMorphisms: A Homological Algebraic Package for Factoring, Reducing and Decomposing Linear Functional Systems

      • Thomas Cluzeau, Alban Quadrat
      Pages 179-194

  4. Controlling and Observing Delay Systems

    1. Front Matter

      Pages 195-195
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Keywords

About this book

Time delays are present in many physical processes due to the period of time it takes for the events to occur. Delays are particularly more pronounced in networks of interconnected systems, such as supply chains and systems controlled over c- munication networks. In these control problems, taking the delays into account is particularly important for performance evaluation and control system’s design. It has been shown, indeed, that delays in a controlled system (for instance, a c- munication delay for data acquisition) may have an “ambiguous” nature: they may stabilize the system, or, in the contrary,they may lead to deteriorationof the clos- loop performance or even instability, depending on the delay value and the system parameters. It is a fact that delays have stabilizing effects, but this is clearly con i- ing for human intuition. Therefore,speci c analysis techniquesand design methods are to be developed to satisfactorily take into account the presence of delays at the design stage of the control system. The research on time delay systems stretches back to 1960s and it has been very active during the last twenty years. During this period, the results have been presented at the main control conferences(CDC, ACC, IFAC), in specialized wo- shops (IFAC TDS series), and published in the leading journals of control engine- ing, systems and control theory, applied and numerical mathematics.

Editors and Affiliations

  • Ecole Centrale de Nantes, Nantes, France

    Jean Jacques Loiseau

  • Katholieke Universiteit, Leuven, Belgium

    Wim Michiels

  • CNRSSupélec, Gif-sur-Yvette, France

    Silviu-Iulian Niculescu

  • Northeastern University, Boston, USA

    Rifat Sipahi

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