Delays and Interconnections: Methodology, Algorithms and Applications

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.

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

Inhalt

Singular perturbation approach for linear coupled ODE-PDE systems.- On some neutral functional dierential equations occurring in synchronization.- Dynamic Dissipativity Theory for Stability of Time-Delay Systems.- Stability of interconnected uncertain delay systems: a converse Lyapunov approach.- ISS-stabilization of delayed neural elds by small-gain arguments.- Robustness of delayed multistable systems.- A Small-Gain Method for the Design of Decentralized Stabilizing Controllers for Interconnected Systems with Delays.- Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach.- Asymptotic Analysis of Multiple Characteristics Roots for Quasi polynomials of Retarded-Type.- Scanning the Space of Parameters for Stability Regions of a Class of Time-Delay Systems; a Lyapunov Matrix Approach.

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