Ebook: Advances in Time-Delay Systems

In the mathematical description of a physical or biological process, it is a common practice assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe­ rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of­ tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho­ dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora­ ted perfonnances for the corresponding closed-loop systems.

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The book focuses on delay systems and their applications. Well-known experts in the field were brought together to present a wide panorama of interdisciplinary methods in handling stability, control and related numerical issues. By reading the book, the readers will get an up-to-date picture of this active area of research as well as representative methods used in this field. This book can be used as a reference for both experts and novices interested in the research of time-delay, numerical issues, as well as applications of time-delay systems.

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The book focuses on delay systems and their applications. Well-known experts in the field were brought together to present a wide panorama of interdisciplinary methods in handling stability, control and related numerical issues. By reading the book, the readers will get an up-to-date picture of this active area of research as well as representative methods used in this field. This book can be used as a reference for both experts and novices interested in the research of time-delay, numerical issues, as well as applications of time-delay systems.

Content:
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Basic Theory for Linear Delay Equations....Pages 3-27
Front Matter....Pages 29-29
Complete Type Lyapunov-Krasovskii Functionals....Pages 31-42
Robust Stability Conditions of Quasipolynomials by Frequency Sweeping....Pages 43-60
Improvements on the Cluster Treatment of Characteristic Roots and the Case Studies....Pages 61-73
From Lyapunov-Krasovskii Functionals for Delay-Independent Stability to LMI Conditions for µ-Analysis....Pages 75-85
Front Matter....Pages 87-87
Finite Eigenstructure Assignment for Input Delay Systems....Pages 89-101
Control of Systems with Input Delay—An Elementary Approach....Pages 103-110
On the Stabilization of Systems with Bounded and Delayed Input....Pages 111-122
Identifiability and Identification of Linear Systems with Delays....Pages 123-135
A Model Matching Solution of Robust Observer Design for Time-Delay Systems....Pages 137-152
Front Matter....Pages 153-153
Adaptive Integration of Delay Differential Equations....Pages 155-165
Software for Stability and Bifurcation Analysis of Delay Differential Equations and Applications to Stabilization....Pages 167-181
Empirical Methods for Determining the Stability of Certain Linear Delay Systems....Pages 183-192
Stability Exponent and Eigenvalue Abscissas by Way of the Imaginary Axis Eigenvalues....Pages 193-206
The Effect of Approximating Distributed Delay Control Laws on Stability....Pages 207-222
Front Matter....Pages 223-223
Synchronization Through Boundary Interaction....Pages 225-232
Output Regulation of Nonlinear Neutral Systems....Pages 233-244
Robust Stability Analysis of Various Classes of Delay Systems....Pages 245-255
On Strong Stability and Stabilizability of Linear Systems of Neutral Type....Pages 257-268
Robust Delay Dependent Stability Analysis of Neutral Systems....Pages 269-283
Front Matter....Pages 285-285
On Delay-Based Linear Models and Robust Control of Cavity Flows....Pages 287-298
Active-adaptive Control of Acoustic Resonances in Flows....Pages 299-309
Robust Prediction-Dased Control for Unstable Delay Systems....Pages 311-325
Robust Stability of Teleoperation Schemes Subject to Constant and Time-Varying Communication Delays....Pages 327-338
Bounded Control of Multiple-Delay Systems with Applications to ATM Networks....Pages 339-353
Dynamic Time Delay Models for Load Balancing. Part I: Deterministic Models....Pages 355-370
Dynamic Time Delay Models for Load Balancing. Part II: A Stochastic Analysis of the Effect of Delay Uncertainty....Pages 371-385
Front Matter....Pages 387-387
Asymptotic Properties of Stochastic Delay Systems....Pages 389-420
Stability and Dissipativity Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay....Pages 421-435
Back Matter....Pages 436-451

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The book focuses on delay systems and their applications. Well-known experts in the field were brought together to present a wide panorama of interdisciplinary methods in handling stability, control and related numerical issues. By reading the book, the readers will get an up-to-date picture of this active area of research as well as representative methods used in this field. This book can be used as a reference for both experts and novices interested in the research of time-delay, numerical issues, as well as applications of time-delay systems.

Content:
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Basic Theory for Linear Delay Equations....Pages 3-27
Front Matter....Pages 29-29
Complete Type Lyapunov-Krasovskii Functionals....Pages 31-42
Robust Stability Conditions of Quasipolynomials by Frequency Sweeping....Pages 43-60
Improvements on the Cluster Treatment of Characteristic Roots and the Case Studies....Pages 61-73
From Lyapunov-Krasovskii Functionals for Delay-Independent Stability to LMI Conditions for µ-Analysis....Pages 75-85
Front Matter....Pages 87-87
Finite Eigenstructure Assignment for Input Delay Systems....Pages 89-101
Control of Systems with Input Delay—An Elementary Approach....Pages 103-110
On the Stabilization of Systems with Bounded and Delayed Input....Pages 111-122
Identifiability and Identification of Linear Systems with Delays....Pages 123-135
A Model Matching Solution of Robust Observer Design for Time-Delay Systems....Pages 137-152
Front Matter....Pages 153-153
Adaptive Integration of Delay Differential Equations....Pages 155-165
Software for Stability and Bifurcation Analysis of Delay Differential Equations and Applications to Stabilization....Pages 167-181
Empirical Methods for Determining the Stability of Certain Linear Delay Systems....Pages 183-192
Stability Exponent and Eigenvalue Abscissas by Way of the Imaginary Axis Eigenvalues....Pages 193-206
The Effect of Approximating Distributed Delay Control Laws on Stability....Pages 207-222
Front Matter....Pages 223-223
Synchronization Through Boundary Interaction....Pages 225-232
Output Regulation of Nonlinear Neutral Systems....Pages 233-244
Robust Stability Analysis of Various Classes of Delay Systems....Pages 245-255
On Strong Stability and Stabilizability of Linear Systems of Neutral Type....Pages 257-268
Robust Delay Dependent Stability Analysis of Neutral Systems....Pages 269-283
Front Matter....Pages 285-285
On Delay-Based Linear Models and Robust Control of Cavity Flows....Pages 287-298
Active-adaptive Control of Acoustic Resonances in Flows....Pages 299-309
Robust Prediction-Dased Control for Unstable Delay Systems....Pages 311-325
Robust Stability of Teleoperation Schemes Subject to Constant and Time-Varying Communication Delays....Pages 327-338
Bounded Control of Multiple-Delay Systems with Applications to ATM Networks....Pages 339-353
Dynamic Time Delay Models for Load Balancing. Part I: Deterministic Models....Pages 355-370
Dynamic Time Delay Models for Load Balancing. Part II: A Stochastic Analysis of the Effect of Delay Uncertainty....Pages 371-385
Front Matter....Pages 387-387
Asymptotic Properties of Stochastic Delay Systems....Pages 389-420
Stability and Dissipativity Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay....Pages 421-435
Back Matter....Pages 436-451
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