Complex Time-Delay Systems

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Release : 2010-03-10
Genre : Science
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Book Rating : 290/5 ( reviews)

Complex Time-Delay Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Time-Delay Systems write by Fatihcan M. Atay. This book was released on 2010-03-10. Complex Time-Delay Systems available in PDF, EPUB and Kindle. 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.

Complex Time-Delay Systems

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Author :
Release : 2010-03-24
Genre : Science
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Book Rating : 282/5 ( reviews)

Complex Time-Delay Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Time-Delay Systems write by Fatihcan M. Atay. This book was released on 2010-03-24. Complex Time-Delay Systems available in PDF, EPUB and Kindle. 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.

Dynamics of Nonlinear Time-Delay Systems

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Release : 2011-01-04
Genre : Science
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Book Rating : 383/5 ( reviews)

Dynamics of Nonlinear Time-Delay Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics of Nonlinear Time-Delay Systems write by Muthusamy Lakshmanan. This book was released on 2011-01-04. Dynamics of Nonlinear Time-Delay Systems available in PDF, EPUB and Kindle. 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.

Switched Time-Delay Systems

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Release : 2010-09-14
Genre : Technology & Engineering
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Book Rating : 944/5 ( reviews)

Switched Time-Delay Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Switched Time-Delay Systems write by Magdi S. Mahmoud. This book was released on 2010-09-14. Switched Time-Delay Systems available in PDF, EPUB and Kindle. 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.

Robust Control of Time-delay Systems

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Release : 2006-05-28
Genre : Technology & Engineering
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Book Rating : 659/5 ( reviews)

Robust Control of Time-delay Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robust Control of Time-delay Systems write by Qing-Chang Zhong. This book was released on 2006-05-28. Robust Control of Time-delay Systems available in PDF, EPUB and Kindle. 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.