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Dynamics Of Nonlinear Time Delay Systems

Dynamics of Nonlinear Time Delay Systems PDF

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Author: Muthusamy Lakshmanan
Publisher: Springer Science & Business Media
ISBN: 9783642149382
Size: 53.16 MB
Format: PDF
Category : Science
Languages : en
Pages : 313
View: 614

Book Description: Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.


Time Delay Systems

Time delay Systems PDF

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Author: Magdi S. Mahmoud
Publisher:
ISBN: 9781536130881
Size: 39.35 MB
Format: PDF, ePub
Category : Automatic control
Languages : en
Pages :
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Book Description: Time-delay occurs in many physical, industrial and engineering systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactors, hydraulic systems and electrical networks, to name a few. The reason for the occurrence could be attributed to inherent physical phenomena like mass transport flow or recycling. It could result from the finite capabilities of information processing and data transmission among various parts of the system. In addition, they could be by-products of computational delays or could be intentionally introduced for some design consideration. Such delays could be constant or time varying, known or unknown, deterministic or stochastic depending on the system under consideration. In recent years, time-delay, which exists in networked control systems, has brought more complex problems into a new research area. Frequently, it is a source of the generation of oscillation, instability and poor performance. Therefore, the subject of Time-Delay Systems (TDS) has been investigated as functional differential equations over the past four decades. Because the presence of the delay factor renders the system analysis more complicated, the problems of stability and stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delays. More attention is paid to the synthesis of systems with time-delay. That is, control of nonlinear systems with delay; networked control systems; positive delay systems; fuzzy systems; and reset control with random delay are all analyzed within this book--


Time Delay Systems

Time delay Systems PDF

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Author: John Edward Marshall
Publisher: Prentice Hall
ISBN:
Size: 31.77 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 244
View: 3213

Book Description: 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.


Stability Control And Application Of Time Delay Systems

Stability  Control and Application of Time Delay Systems PDF

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Author: Qingbin Gao
Publisher: Butterworth-Heinemann
ISBN: 0128149299
Size: 66.71 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 482
View: 3919

Book Description: 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


Control Of Time Delay Systems

Control of Time delay Systems PDF

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Author: John Edward Marshall
Publisher: Inst of Engineering & Technology
ISBN:
Size: 46.11 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 225
View: 640

Book Description:


Robust Control Of Time Delay Systems

Robust Control of Time delay Systems PDF

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Author: Qing-Chang Zhong
Publisher: Springer Science & Business Media
ISBN: 1846282659
Size: 37.92 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 231
View: 5358

Book Description: Recently, there have been significant developments in robust control of time-delay systems. This volume presents a systematic treatment of robust control for such systems in the frequency domain. The emphasis is on systems with a single input or output delay, although the delay-free part of the plant can be multi-input-multi-output, in which case the delays in different channels should be the same. The author covers the whole range of H-infinity control of time-delay systems: from controller parameterization implementation; from the Nehari problem to the four-block problem; from theoretical developments to practical issues. The major tools used are similarity transformation, the chain-scattering approach and J-spectral factorization. Self-contained, "Robust Control of Time-delay Systems" will interest control theorists and mathematicians working with time-delay systems. Its methodical approach will be of value to graduates studying general robust control theory or its applications in time-delay systems.


Stability Of Time Delay Systems

Stability of Time Delay Systems PDF

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Author: Keqin Gu
Publisher: Springer Science & Business Media
ISBN: 1461200393
Size: 30.30 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 356
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Book Description: 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.


Pid Controllers For Time Delay Systems

PID Controllers for Time Delay Systems PDF

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Author: Guillermo J. Silva
Publisher: Springer Science & Business Media
ISBN: 9780817644239
Size: 67.60 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 330
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Book Description: Filling a gap in the literature, this book is a presentation of recent results in the field of PID controllers, including their design, analysis, and synthesis. Emphasis is placed on the efficient computation of the entire set of PID controllers achieving stability and various performance specifications, which is important for the development of future software design packages, as well as further capabilities such as adaptive PID design and online implementation. The results presented here are timely given the resurgence of interest in PID controllers and will find widespread application, specifically in the development of computationally efficient tools for PID controller design and analysis. Serving as a catalyst to bridge the theory--practice gap in the control field as well as the classical--modern gap, this monograph is an excellent resource for control, electrical, chemical, and mechanical engineers, as well as researchers in the field of PID controllers.


Time Delay Systems

Time Delay Systems PDF

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Author: Tamás Insperger
Publisher: Springer
ISBN: 3319534262
Size: 68.59 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 362
View: 4166

Book Description: 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.


Introduction To Time Delay Systems

Introduction to Time Delay Systems PDF

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Author: Emilia Fridman
Publisher: Springer
ISBN: 3319093932
Size: 39.58 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 362
View: 3739

Book Description: 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.


Switched Time Delay Systems

Switched Time Delay Systems PDF

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Author: Magdi S. Mahmoud
Publisher: Springer Science & Business Media
ISBN: 9781441963949
Size: 45.72 MB
Format: PDF, ePub, Mobi
Category : Technology & Engineering
Languages : en
Pages : 433
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Book Description: 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.


Advances In Time Delay Systems

Advances in Time Delay Systems PDF

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Author: Silviu-Iulian Niculescu
Publisher: Springer Science & Business Media
ISBN: 3642184820
Size: 18.30 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 452
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Book Description: 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.