Sipahi R., Vyhlídal T., Niculescu S.-I., Pepe P. (eds.) Time Delay Systems: Methods, Applications and New Trends

Berlin: Springer, 2012. - 442p.This volume is concerned with the control and dynamics of time delay systems; a research field with at least six-decade long history that has been very active especially in the past two decades. In parallel to the new challenges emerging from engineering, physics, mathematics, and economics, the volume covers several new directions including topology induced stability, large-scale interconnected systems, roles of networks in stability, and new trends in predictor-based control and consensus dynamics. The associated applications/problems are described by highly complex models, and require solving inverse problems as well as the development of new theories, mathematical tools, numerically-tractable algorithms for real-time control. The volume, which is targeted to present these developments in this rapidly evolving field, captures a careful selection of the most recent papers contributed by experts and collected under five parts: (i) Methodology: From Retarded to Neutral Continuous Delay Models, (ii) Systems, Signals and Applications, (iii): Numerical Methods, (iv) Predictor-based Control and Compensation, and (v) Networked Control Systems and Multi-agent Systems.Lyapunov Functionals and Matrices for Neutral Type Time Delay Systems
On the Stability of Positive Difference Equations
Positivity of Complete Quadratic Lyapunov-Krasovskii Functionals in Time-Delay Systems
On Retarded Nonlinear Time-Delay Systems That Generate Neutral Input-Output Equations
Computation of Imaginary Axis Eigenvalues and Critical Parameters for Neutral Time Delay Systems
Set-Induced Stability Results for Delay Difference EquationsTemperature and Heat Flux Dependence/Independence for Heat Equations with Memory
Identifiability and Algebraic Identification of Time Delay Systems
Stability Analysis for a Consensus System of a Group of Autonomous Agents with Time Delays
State Space for Time Varying Delay
Delays. Propagation. Conservation Laws
Equations with Advanced Arguments in Stick Balancing Models
Optimal Control with Preview for Lateral Steering of a Passenger Car: Design and Test on a Driving Simulator
Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in LeukemiaDesign of Fixed-Order Stabilizing and $\mathcal{H}_2$ - $\mathcal{H}_\infty$ Optimal Controllers: An Eigenvalue Optimization Approach
Discretization of Solution Operators for Linear Time Invariant - Time Delay Systems in Hilbert Spaces
The Infinite Arnoldi Method and an Application to Time-Delay Systems with Distributed Delays
A New Method for Delay-Independent Stability of Time-Delayed Systems
A Hybrid Method for the Analysis of Non-uniformly Sampled Systems
A Numerical Method for the Construction of Lyapunov Matrices for Linear Periodic Systems with Time DelayPolytopic Discrete-Time Models for Systems with Time-Varying DelaysPredictor Feedback: Time-Varying, Adaptive, and Nonlinear
Smoothing Techniques-Based Distributed Model Predictive Control Algorithms for Networks
Model Predictive Control with Delay Compensation for Air-to-Fuel Ratio Control
Observer-Based Stabilizing Control for a Class of Nonlinear Retarded Systems
Cascade Control for Time Delay Plants
Design of Terminal Cost Functionals and Terminal Regions for Model Predictive Control of Nonlinear Time-Delay SystemsNetworked Control under Time-Synchronization Errors
Modelling and Predictive Congestion Control of TCP Protocols
Dependence of Delay Margin on Network Topology: Single Delay Case
Consensus in Networks under Transmission Delays and the Normalized Laplacian
Consensus with Constrained Convergence Rate and Time-Delays
H ∞ Control of Networked Control Systems via Discontinuous Lyapunov Functionals