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Introduction to Time-Delay Systems

2014-09-02 Science
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Release : 2014-09-02
Genre : Science
Kind : eBook
Book Rating : 932/5 ( reviews)

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Book Synopsis Introduction to Time-Delay Systems by : Emilia Fridman

Download or read book Introduction to Time-Delay Systems written by Emilia Fridman. This book was released on 2014-09-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Time-Delay Systems

2012-09-18 Technology & Engineering
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Release : 2012-09-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 674/5 ( reviews)

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Book Synopsis Time-Delay Systems by : Vladimir Kharitonov

Download or read book Time-Delay Systems written by Vladimir Kharitonov. This book was released on 2012-09-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.​

Complex Time-Delay Systems

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

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Book Synopsis Complex Time-Delay Systems by : Fatihcan M. Atay

Download or read book Complex Time-Delay Systems written by Fatihcan M. Atay. This book was released on 2010-03-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability of Time-Delay Systems

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 393/5 ( reviews)

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Book Synopsis Stability of Time-Delay Systems by : Keqin Gu

Download or read book Stability of Time-Delay Systems written by Keqin Gu. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability, Control, and Computation for Time-Delay Systems

2014-12-11 Mathematics
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Release : 2014-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 627/5 ( reviews)

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Book Synopsis Stability, Control, and Computation for Time-Delay Systems by : Wim Michiels

Download or read book Stability, Control, and Computation for Time-Delay Systems written by Wim Michiels. This book was released on 2014-12-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.?

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