Stability Control And Computation For Time Delay Systems

Author : Wim Michiels,Silviu-Iulian Niculescu
Publisher : SIAM
Page : 443 pages
File Size : 54,7 Mb
Release : 2014-12-11
Category : Mathematics
ISBN : 9781611973624

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Stability, Control, and Computation for Time-Delay Systems by Wim Michiels,Silviu-Iulian Niculescu Pdf

Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.? In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.?

Author : Wim Michiels,Silviu-Iulian Niculescu
Publisher : SIAM
Page : 435 pages
File Size : 45,6 Mb
Release : 2014-12-11
Category : Mathematics
ISBN : 9781611973631

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Stability, Control, and Computation for Time-Delay Systems by Wim Michiels,Silviu-Iulian Niculescu Pdf

Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems. In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.

Author : Qingbin Gao,Hamid Reza Karimi
Publisher : Butterworth-Heinemann
Page : 482 pages
File Size : 55,6 Mb
Release : 2019-06-27
Category : Mathematics
ISBN : 9780128149294

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Stability, Control and Application of Time-Delay Systems by Qingbin Gao,Hamid Reza Karimi Pdf

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

Author : Keqin Gu,Vladimir L. Kharitonov,Jie Chen
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461200390

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Stability of Time-Delay Systems by Keqin Gu,Vladimir L. Kharitonov,Jie Chen Pdf

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 : Wim Michiels,Silviu-Iulian Niculescu
Publisher : SIAM
Page : 383 pages
File Size : 41,7 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780898716320

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Stability and Stabilization of Time-Delay Systems by Wim Michiels,Silviu-Iulian Niculescu Pdf

An overall solution to the (robust) stability analysis and stabilisation problem of linear time-delay systems.

Author : Emilia Fridman
Publisher : Springer
Page : 362 pages
File Size : 45,8 Mb
Release : 2014-09-02
Category : Science
ISBN : 9783319093932

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Introduction to Time-Delay Systems by Emilia Fridman Pdf

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.

Author : Magdi S. Mahmoud
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 43,9 Mb
Release : 2010-09-14
Category : Technology & Engineering
ISBN : 1441963944

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Switched Time-Delay Systems by Magdi S. Mahmoud Pdf

In many practical applications we deal with a wide class of dynamical systems that are comprised of a family of continuous-time or discrete-time subsystems and a rule orchestrating the switching between the subsystems. This class of systems is frequently called switched system. Switched linear systems provide a framework that bridges the linear systems and the complex and/or uncertain systems. The mo- vation for investigating this class of systems is twofold: ?rst, it has an inherent multi-modal behavior in the sense that several dynamical subsystems are required to describe their behavior, which might depend on various environmental factors. Second, the methods of intelligent control systems are based on the idea of swit- ing between different controllers. Looked at in this light, switched systems provide an integral framework to deal with complex system behaviors such as chaos and multiple limit cycles and gain more insights into powerful tools such as intelligent control, adaptive control, and robust control. Switched systems have been inves- gated for a long time in the control and systems literature and have increasingly attracted more attention for the past three decades. The number of journal articles, books, and conference papers have grown exponentially and a number of fundam- tal concepts and powerful tools have been developed. It has been pointed out that switched systems have been studied from various viewpoints.

Author : Tamás Insperger,Tulga Ersal,Gábor Orosz
Publisher : Springer
Page : 362 pages
File Size : 40,9 Mb
Release : 2017-03-30
Category : Technology & Engineering
ISBN : 9783319534268

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Time Delay Systems by Tamás Insperger,Tulga Ersal,Gábor Orosz Pdf

This volume collects contributions related to selected presentations from the 12th IFAC Workshop on Time Delay Systems, Ann Arbor, June 28-30, 2015. The included papers present novel techniques and new results of delayed dynamical systems. The topical spectrum covers control theory, numerical analysis, engineering and biological applications as well as experiments and case studies. The target audience primarily comprises research experts in the field of time delay systems, but the book may also be beneficial for graduate students alike.

Author : Jing Zhu,Tian Qi,Dan Ma,Jie Chen
Publisher : Springer
Page : 219 pages
File Size : 55,6 Mb
Release : 2018-02-05
Category : Technology & Engineering
ISBN : 9783319736518

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Limits of Stability and Stabilization of Time-Delay Systems by Jing Zhu,Tian Qi,Dan Ma,Jie Chen Pdf

This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike.

Author : Luc Dugard,Erik I. Verriest
Publisher : Unknown
Page : 344 pages
File Size : 46,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662202123

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Stability and Control of Time-Delay Systems by Luc Dugard,Erik I. Verriest Pdf

Author : John Chiasson,Jean Jacques Loiseau
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 40,8 Mb
Release : 2007-02-08
Category : Technology & Engineering
ISBN : 9783540495550

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Applications of Time Delay Systems by John Chiasson,Jean Jacques Loiseau Pdf

This book provides an update of the latest research in control of time delay systems and applications by world leading experts. It will appeal to engineers, researchers and students in Control.

Author : Vladimir Kharitonov
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 41,7 Mb
Release : 2012-09-18
Category : Technology & Engineering
ISBN : 9780817683672

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Time-Delay Systems by Vladimir Kharitonov Pdf

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.​

Author : Silviu-Iulian Niculescu,Keqin Gu
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642184826

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Advances in Time-Delay Systems by Silviu-Iulian Niculescu,Keqin Gu Pdf

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.

Author : Tamás Insperger,Gábor Stépán
Publisher : Springer Science & Business Media
Page : 174 pages
File Size : 51,8 Mb
Release : 2011-07-15
Category : Mathematics
ISBN : 9781461403357

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Semi-Discretization for Time-Delay Systems by Tamás Insperger,Gábor Stépán Pdf

This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.

Author : Fatihcan M. Atay
Publisher : Springer
Page : 328 pages
File Size : 43,8 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783642023293

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Complex Time-Delay Systems by Fatihcan M. Atay Pdf

One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex systems so far has not attracted the interest it deserves. The present volume is an attempt toward ?lling this gap. There exist various useful tools for the study of complex time-delay systems. At the forefront is the mathematical theory of delay equations, a relatively mature ?eld in many aspects, which provides some powerful techniques for analytical inquiries, along with some other tools from statistical physics, graph theory, computer science, dynamical systems theory, probability theory, simulation and optimization software, and so on. Nevertheless, the use of these methods requires a certain synergy to address complex systems problems, especially in the presence of time delays.