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Delays and Interconnections: Methodology, Algorithms and Applications

  • Book
  • © 2019

Overview

Editors:
  1. Giorgio Valmorbida

    1. Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

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  2. Alexandre Seuret

    1. Laboratoire d’Analyse et d’Architecture de Systèmes-CNRS, Toulouse, France

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  3. Islam Boussaada

    1. Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

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  4. Rifat Sipahi

    1. Mechanical and Industrial Engineering, Northeastern University, Boston, USA

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  • Provides recent results on the analysis of interconnected systems
  • Includes numerical stability tests for delay differential systems
  • Presents control strategies for delay differential equations

Part of the book series: Advances in Delays and Dynamics (ADVSDD, volume 10)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Interconnected Systems Analysis

    1. Front Matter

      Pages 1-1
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    2. Singular Perturbation Approach for Linear Coupled ODE-PDE Systems

      • Ying Tang, Christophe Prieur, Antoine Girard
      Pages 3-17

    3. On Some Neutral Functional Differential Equations Occurring in Synchronization

      • Vladimir Răsvan, Daniela Danciu, Dan Popescu
      Pages 19-32

    4. Dynamic Dissipativity Theory for Stability of Time-Delay Systems

      • Vijaysekhar Chellaboina, Wassim M. Haddad
      Pages 33-47

    5. Stability of Interconnected Uncertain Delay Systems: A Converse Lyapunov Approach

      • Ihab Haidar, Paolo Mason, Mario Sigalotti
      Pages 49-63

    6. ISS-Stabilization of Delayed Neural Fields by Small-Gain Arguments

      • Antoine Chaillet, Georgios Is. Detorakis, Stéphane Palfi, Suhan Senova
      Pages 65-81

    7. Robustness of Delayed Multistable Systems

      • Denis Efimov, Johannes Schiffer, Romeo Ortega
      Pages 83-97

    8. A Small-Gain Method for the Design of Decentralized Stabilizing Controllers for Interconnected Systems with Delays

      • Pierdomenico Pepe, Hiroshi Ito, Zhong-Ping Jiang
      Pages 99-114

  3. Delay Systems: Modeling and Analysis

    1. Front Matter

      Pages 115-115
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    2. Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach

      • Xu-Guang Li, Silviu-Iulian Niculescu, Arben Çela, Lu Zhang
      Pages 117-130

    3. Asymptotic Analysis of Multiple Characteristics Roots for Quasi-polynomials of Retarded-Type

      • A. Martínez-González, S.-I. Niculescu, J. Chen, C. F. Méndez-Barrios, J. G. Romero, G. Mejía-Rodríguez
      Pages 131-151

    4. Scanning the Space of Parameters for Stability Regions of a Class of Time-Delay Systems; A Lyapunov Matrix Approach

      • Carlos Cuvas, Adrián Ramírez, Luis Juárez, Sabine Mondié
      Pages 153-167

    5. A Symbolic Computation Approach Towards the Asymptotic Stability Analysis of Differential Systems with Commensurate Delays

      • Yacine Bouzidi, Adrien Poteaux, Alban Quadrat
      Pages 169-185

    6. Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay

      • Alexandre Seuret, Frédéric Gouaisbaut
      Pages 187-197

    7. Wave Equation Modelling and Freeness Properties for Wind Power Systems

      • Hugues Mounier, Luca Greco
      Pages 199-214

    8. A Delayed Mass-Action Model for the Transcriptional Control of Hmp, an NO Detoxifying Enzyme, by the Iron-Sulfur Protein FNR

      • Marc R. Roussel
      Pages 215-230

  4. Delay Systems: Stabilization and Control Strategies

    1. Front Matter

      Pages 231-231
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    2. A Comparison of Shaper-Based and Shaper-Free Architectures for Feedforward Compensation of Flexible Modes

      • Dan Pilbauer, Wim Michiels, Tomáš Vyhlídal
      Pages 233-247

    3. Proportional-Retarded (PR) Protocol for a Large Scale Multi-agent Network with Noisy Measurements; Stability and Performance

      • Adrián Ramírez, Rifat Sipahi
      Pages 249-263
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Keywords

About this book

This book contains advances on the theory and applications of time-delay systems with particular focus on interconnected systems. The methods for stability analysis and control design are based on time-domain and frequency-domain approaches, for continuous-time and sampled-data systems, linear and nonlinear systems. This volume is a valuable source of reference for control practitioners, graduate students, and scientists researching practical as well as theoretical solutions to a variety of control problems inevitably influenced by the presence of time delays. The contents are organized in three parts: Interconnected Systems analysis, Modeling and and Analysis for Delay systems, and Stabilization and Control Strategies for Delay Systems. This volume presents a selection of 19 contributions presented in the 4th DelSys Workshop which took place in Gif-sur-Yvette, France November 25-27, 2015.

Editors and Affiliations

  • Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

    Giorgio Valmorbida, Islam Boussaada

  • Laboratoire d’Analyse et d’Architecture de Systèmes-CNRS, Toulouse, France

    Alexandre Seuret

  • Mechanical and Industrial Engineering, Northeastern University, Boston, USA

    Rifat Sipahi

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