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.
Author(s): Vladimir L. Kharitonov (auth.), Rifat Sipahi, Tomáš Vyhlídal, Silviu-Iulian Niculescu, Pierdomenico Pepe (eds.)
Series: Lecture Notes in Control and Information Sciences 423
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2012
Language: English
Pages: 442
City: Berlin ; New York
Tags: Computational Intelligence; Artificial Intelligence (incl. Robotics)
Front Matter....Pages 1-24
Front Matter....Pages 1-1
Lyapunov Functionals and Matrices for Neutral Type Time Delay Systems....Pages 3-17
On the Stability of Positive Difference Equations....Pages 19-33
Positivity of Complete Quadratic Lyapunov-Krasovskii Functionals in Time-Delay Systems....Pages 35-47
On Retarded Nonlinear Time-Delay Systems That Generate Neutral Input-Output Equations....Pages 49-60
Computation of Imaginary Axis Eigenvalues and Critical Parameters for Neutral Time Delay Systems....Pages 61-72
Set-Induced Stability Results for Delay Difference Equations....Pages 73-84
Front Matter....Pages 85-85
Temperature and Heat Flux Dependence/Independence for Heat Equations with Memory....Pages 87-101
Identifiability and Algebraic Identification of Time Delay Systems....Pages 103-117
Stability Analysis for a Consensus System of a Group of Autonomous Agents with Time Delays....Pages 119-133
State Space for Time Varying Delay....Pages 135-146
Delays. Propagation. Conservation Laws.....Pages 147-159
Equations with Advanced Arguments in Stick Balancing Models....Pages 161-172
Optimal Control with Preview for Lateral Steering of a Passenger Car: Design and Test on a Driving Simulator....Pages 173-185
Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in Leukemia....Pages 187-197
Front Matter....Pages 199-199
Design of Fixed-Order Stabilizing and $\mathcal{H}_2$ - $\mathcal{H}_\infty$ Optimal Controllers: An Eigenvalue Optimization Approach....Pages 201-216
Discretization of Solution Operators for Linear Time Invariant - Time Delay Systems in Hilbert Spaces....Pages 217-228
The Infinite Arnoldi Method and an Application to Time-Delay Systems with Distributed Delays....Pages 229-239
A New Method for Delay-Independent Stability of Time-Delayed Systems....Pages 241-252
A Hybrid Method for the Analysis of Non-uniformly Sampled Systems....Pages 253-264
A Numerical Method for the Construction of Lyapunov Matrices for Linear Periodic Systems with Time Delay....Pages 265-275
Front Matter....Pages 199-199
Polytopic Discrete-Time Models for Systems with Time-Varying Delays....Pages 277-288
Front Matter....Pages 289-289
Predictor Feedback: Time-Varying, Adaptive, and Nonlinear....Pages 291-306
Smoothing Techniques-Based Distributed Model Predictive Control Algorithms for Networks....Pages 307-318
Model Predictive Control with Delay Compensation for Air-to-Fuel Ratio Control....Pages 319-330
Observer-Based Stabilizing Control for a Class of Nonlinear Retarded Systems....Pages 331-342
Cascade Control for Time Delay Plants....Pages 343-354
Design of Terminal Cost Functionals and Terminal Regions for Model Predictive Control of Nonlinear Time-Delay Systems....Pages 355-366
Front Matter....Pages 367-367
Networked Control under Time-Synchronization Errors....Pages 369-381
Modelling and Predictive Congestion Control of TCP Protocols....Pages 383-393
Dependence of Delay Margin on Network Topology: Single Delay Case....Pages 395-405
Consensus in Networks under Transmission Delays and the Normalized Laplacian....Pages 407-416
Consensus with Constrained Convergence Rate and Time-Delays....Pages 417-428
H ∞ Control of Networked Control Systems via Discontinuous Lyapunov Functionals....Pages 429-440
Back Matter....Pages 0--1
