Delays and Interconnections: Methodology, Algorithms and Applications

1. Front Matter

   Pages i-xiv

   PDF

2. Interconnected Systems Analysis

   1. Front Matter

      Pages 1-1

      PDF

   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

      PDF

   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

      PDF

   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

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.

• 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

• 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

Policies and ethics