Stability of Time Delay SystemsStability of Time Delay Systems



This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.

Author: Keqin Gu

Publisher: Springer Science & Business Media

ISBN: 9781461200390

Category:

Page: 356

View: 662

This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.

Time Delay SystemsTime Delay Systems



The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems.​ Time ...

Author: Vladimir Kharitonov

Publisher: Springer Science & Business Media

ISBN: 9780817683665

Category:

Page: 311

View: 412

Stability is one of the most studied issues in the theory of time-delay systems, however the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems.​ Time-Delay Systems: Lyapunov Functionals and Matrices​ will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design.​

Stability and Control of Time delay SystemsStability and Control of Time delay Systems



Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.

Author: Luc Dugard

Publisher: Springer

ISBN: 3540761934

Category:

Page: 321

View: 770

Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.

Introduction to Time Delay SystemsIntroduction to Time Delay Systems



The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts.

Author: Emilia Fridman

Publisher: Springer

ISBN: 9783319093932

Category:

Page: 362

View: 455

The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course ”Introduction to time-delay systems” for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.

Stability Control and Application of Time Delay SystemsStability Control and Application of Time Delay Systems



The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects.

Author: Qingbin Gao

Publisher: Butterworth-Heinemann

ISBN: 9780128149294

Category:

Page: 482

View: 568

Stability, Control and Application of Time-Delay Systems gives a systematic description of these systems. It includes adequate designs of integrated modeling and control and frequency characterizations. Common themes revolve around creating certain synergies of modeling, analysis, control, computing and applications of time delay systems that achieve robust stability while retaining desired performance quality. The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects. It has been edited with an emphasis on presenting constructive theoretical and practical methodological approaches and techniques. Unifies existing and emerging concepts concerning time delay dynamical systems Provides a series of the latest results in large-delay analysis and multi-agent and thermal systems with delays Gives in each chapter numerical and simulation results in order to reflect the engineering practice

Time delay SystemsTime delay Systems



This work emphasizes the new techniques in stability analysis, an area in which closed form expressions for cost functionals may be used.

Author: J. E. Marshall

Publisher: Prentice Hall

ISBN: UOM:39015025172118

Category:

Page: 264

View: 401

This work emphasizes the new techniques in stability analysis, an area in which closed form expressions for cost functionals may be used. It presents techniques and concepts in the domain of complex variables for calculation of ISE, making possible the analytical design of controllers.

Advances in Time Delay SystemsAdvances in Time Delay Systems



This is satisfactory for a large class of practical systems.

Author: Silviu-Iulian Niculescu

Publisher: Springer Science & Business Media

ISBN: 9783642184826

Category:

Page: 452

View: 761

In the mathematical description of a physical or biological process, it is a common practice \0 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.

Stability Analysis and Robust Control of Time Delay SystemsStability Analysis and Robust Control of Time Delay Systems



The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems.

Author: Min Wu

Publisher: Springer Science & Business Media

ISBN: 9783642030376

Category:

Page: 335

View: 447

"Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent research, this monograph presents all the above areas using a free-weighting matrix approach first developed by the authors. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems. It will be of significant interest to researchers and practitioners engaged in automatic control engineering. Prof. Min Wu, senior member of the IEEE, works at the Central South University, China.

Stability and Stabilization of Linear and Fuzzy Time Delay SystemsStability and Stabilization of Linear and Fuzzy Time Delay Systems



Stability. of. Time-Delay. Systems. Consider a time-delay systems (TDS) (1.4), taking its laplace transform with zero initial condition gives, (sIn − A − Ade−ds)X(s) = 0 (s)X(s) = 0 (1.7) The expression det((s)) = p(s,e−ds) is ...

Author: Rajeeb Dey

Publisher: Springer

ISBN: 9783319701493

Category:

Page: 267

View: 389

This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework. The chapters offer a clear overview of the evolution of stability analysis in terms of the construction of a Lyapunov functional and use of the integral inequalities in order to reduce the gap of delay upper bound estimate compared to frequency domain method through existing and proposed stability theorems. Power system engineering problem has been presented here to give readers fair idea on applicability of the model and method for solving engineering problems. Without deviating from the framework of analysis more complex dynamics of the system have been dealt with here that includes actuator saturation and thereby ascertaining local stability for an estimated time-delay and domain of attraction. Nonlinearity in a time-delay system has been dealt with in the T-S fuzzy modeling approach. This book is useful as a textbook for Master’s students and advanced researcher working in the field of control system engineering, and for practicing engineers dealing with such complex dynamical systems. The strengths of the book are lucidity of presentation, lucidity of solution method, MATLAB programs given in the appendix that help the novice researcher to carry out research in this area independently, clear idea about the formulation of desired stability and control problem in a LMI framework, application problem provided can motivate students and researcher to recast their problems in the similar framework easily, helpful for readers to use the stability (stabilization) conditions or formulate their own stability conditions easily for a complicated linear or nonlinear dynamical system.