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  • © 2019

Delays and Interconnections: Methodology, Algorithms and Applications

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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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  • ISBN: 978-3-030-11554-8
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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xiv
  2. Interconnected Systems Analysis

    1. Front Matter

      Pages 1-1
    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
  3. Delay Systems: Modeling and Analysis

    1. Front Matter

      Pages 115-115
    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
  4. Delay Systems: Stabilization and Control Strategies

    1. Front Matter

      Pages 231-231

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.

Keywords

  • Lyapunov and other classical stabilities
  • Systems governed by functional-differential equations
  • Systems governed by partial differential equations
  • Systems governed by ordinary differential equations
  • Stabilization of systems by feedback
  • Input-output approaches
  • Frequency-response methods
  • Linear systems
  • Nonlinear systems
  • Robust stability
  • partial differential equations

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

Bibliographic Information

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-11554-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book
USD 149.99
Price excludes VAT (USA)