Dynamics Of Nonlinear Time Delay Systems

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Dynamics of Nonlinear Time-Delay Systems

Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Dynamics of Nonlinear Time Delay Systems Book PDF

Author : Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 42,5 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642149382

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Dynamics of Nonlinear Time-Delay Systems by Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar Pdf

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.

Dynamic Systems with Time Delays: Stability and Control

Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen
Dynamic Systems with Time Delays Stability and Control Book PDF

Author : Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen
Publisher : Springer Nature
Page : 335 pages
File Size : 49,6 Mb
Release : 2019-08-29
Category : Science
ISBN : 9789811392542

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Dynamic Systems with Time Delays: Stability and Control by Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen Pdf

This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.

Time Delay Systems

Tamás Insperger,Tulga Ersal,Gábor Orosz
Time Delay Systems Book PDF

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.

Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems

Siyuan Xing,Albert C.J. Luo
Sequential Bifurcation Trees to Chaos in Nonlinear Time Delay Systems Book PDF

Author : Siyuan Xing,Albert C.J. Luo
Publisher : Springer Nature
Page : 73 pages
File Size : 52,7 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031796692

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Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems by Siyuan Xing,Albert C.J. Luo Pdf

In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy. The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by the period-doubling bifurcation. From finite Fourier series, harmonic amplitude and harmonic phases for periodic motions on the global bifurcation tree are obtained for frequency analysis. Numerical illustrations of periodic motions are given for complex periodic motions in global bifurcation trees. The rich dynamics of the 1-D, delayed, nonlinear dynamical system is presented. Such global sequential periodic motions to chaos exist in nonlinear dynamical systems. The frequency-amplitude analysis can be used for re-construction of analytical expression of periodic motions, which can be used for motion control in dynamical systems.

Nonlinear Time-Delay Systems

Claudia Califano,Claude H. Moog
Nonlinear Time Delay Systems Book PDF

Author : Claudia Califano,Claude H. Moog
Publisher : Springer Nature
Page : 113 pages
File Size : 50,8 Mb
Release : 2021-05-30
Category : Technology & Engineering
ISBN : 9783030720261

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Nonlinear Time-Delay Systems by Claudia Califano,Claude H. Moog Pdf

This brief focuses on the structural properties of nonlinear time-delay systems. It provides a link between coverage of fundamental theoretical properties and advanced control algorithms, as well as suggesting a path for the generalization of the differential geometric approach to time-delay systems . The brief begins with an introduction to a class of single-input nonlinear time-delay systems. It then focuses on geometric methods treating them and offers a geometric framework for integrability. The book has chapters dedicated to the accessibility and observability of nonlinear time-delay systems, allowing readers to understand the systems in a well-ordered, structured way. Finally, the brief concludes with applications of integrability and the control of single-input time-delay systems. This brief employs exercises and examples to familiarize readers with the time-delay context. It is of interest to researchers, engineers and postgraduate students who work in the area of nonlinear control systems.

Dynamics of Controlled Mechanical Systems with Delayed Feedback

H.Y. Hu,Z.H. Wang
Dynamics of Controlled Mechanical Systems with Delayed Feedback Book PDF

Author : H.Y. Hu,Z.H. Wang
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 42,6 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783662050309

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Dynamics of Controlled Mechanical Systems with Delayed Feedback by H.Y. Hu,Z.H. Wang Pdf

Recent years have witnessed a rapid development of active control of various mechanical systems. With increasingly strict requirements for control speed and system performance, the unavoidable time delays in both controllers and actuators have become a serious problem. For instance, all digital controllers, analogue anti aliasing and reconstruction filters exhibit a certain time delay during operation, and the hydraulic actuators and human being interaction usually show even more significant time delays. These time delays, albeit very short in most cases, often deteriorate the control performance or even cause the instability of the system, be cause the actuators may feed energy at the moment when the system does not need it. Thus, the effect of time delays on the system performance has drawn much at tention in the design of robots, active vehicle suspensions, active tendons for tall buildings, as well as the controlled vibro-impact systems. On the other hand, the properly designed delay control may improve the performance of dynamic sys tems. For instance, the delayed state feedback has found its applications to the design of dynamic absorbers, the linearization of nonlinear systems, the control of chaotic oscillators, etc. Most controlled mechanical systems with time delays can be modeled as the dynamic systems described by a set of ordinary differential equations with time delays.

Deterministic and Stochastic Time-Delay Systems

El-Kebir Boukas,Zi-Kuan Liu
Deterministic and Stochastic Time Delay Systems Book PDF

Author : El-Kebir Boukas,Zi-Kuan Liu
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200772

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Deterministic and Stochastic Time-Delay Systems by El-Kebir Boukas,Zi-Kuan Liu Pdf

Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.

Robust Control for Nonlinear Time-Delay Systems

Changchun Hua,Liuliu Zhang,Xinping Guan
Robust Control for Nonlinear Time Delay Systems Book PDF

Author : Changchun Hua,Liuliu Zhang,Xinping Guan
Publisher : Springer
Page : 300 pages
File Size : 44,5 Mb
Release : 2017-06-28
Category : Technology & Engineering
ISBN : 9789811051319

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Robust Control for Nonlinear Time-Delay Systems by Changchun Hua,Liuliu Zhang,Xinping Guan Pdf

This book reports on the latest findings concerning nonlinear control theory and applications. It presents novel work on several kinds of commonly encountered nonlinear time-delay systems, including those whose nonlinear terms satisfy high-order polynomial form or general nonlinear form, those with nonlinear input or a triangular structure, and so on. As such, the book will be of interest to university researchers, R&D engineers and graduate students in the fields of control theory and control engineering who wish to learn about the core principles, methods, algorithms, and applications of nonlinear time-delay systems.

Nonlinear Dynamics of Time Delay Systems

Jian Xu
Nonlinear Dynamics of Time Delay Systems Book PDF

Author : Jian Xu
Publisher : Springer
Page : 0 pages
File Size : 51,6 Mb
Release : 2024-03-16
Category : Technology & Engineering
ISBN : 9819999065

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Nonlinear Dynamics of Time Delay Systems by Jian Xu Pdf

This book presents research advancements in the dynamics of systems with time delay conducted by the group led by Professor Jian Xu. Addressing the challenges arising from the joint impact of time delay and nonlinearity, novel theoretical approaches are developed to formulate the nonlinear response of the system. This facilitates the classification of complex nonlinear dynamics, especially the non-resonant and resonant double Hopf bifurcation. In contrast to systems without time delay, time delay systems require specific considerations when identifying system parameters, particularly the time delay. Consequently, inverse problems of systems with time delay are also explored in this book. Moreover, detailed investigations on vibration suppression methods and experimental prototypes based on time delay, such as time delay isolators with quasi-zero stiffness, are conducted. Simultaneously, this book is enriched with a large number of case studies ranging from manufacturing, network science, biology, and public transportation, illuminating the mechanisms of delay-induced nonlinear dynamics in practical applications. This book is suitable for graduate students and researchers who are eager to understand the delay-induced nonlinear dynamics, or technical personnel in whose projects small variations of time delay may cause significant changes in system responses.

Delay Systems

Tomáš Vyhlídal,Jean-François Lafay,Rifat Sipahi
Delay Systems Book PDF

Author : Tomáš Vyhlídal,Jean-François Lafay,Rifat Sipahi
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 43,7 Mb
Release : 2013-09-07
Category : Technology & Engineering
ISBN : 9783319016955

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Delay Systems by Tomáš Vyhlídal,Jean-François Lafay,Rifat Sipahi Pdf

This volume is the first of the new series Advances in Dynamics and Delays. It offers the latest advances in the research of analyzing and controlling dynamical systems with delays, which arise in many real-world problems. The contributions in this series are a collection across various disciplines, encompassing engineering, physics, biology, and economics, and some are extensions of those presented at the IFAC (International Federation of Automatic Control) conferences since 2011. The series is categorized in five parts covering the main themes of the contributions: · Stability Analysis and Control Design · Networks and Graphs · Time Delay and Sampled-Data Systems · Computational and Software Tools · Applications This volume will become a good reference point for researchers and PhD students in the field of delay systems, and for those willing to learn more about the field, and it will also be a resource for control engineers, who will find innovative control methodologies for relevant applications, from both theory and numerical analysis perspectives.

Stability of Time-Delay Systems

Keqin Gu,Vladimir L. Kharitonov,Jie Chen
Stability of Time Delay Systems Book PDF

Author : Keqin Gu,Vladimir L. Kharitonov,Jie Chen
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 54,7 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.

Memorized Discrete Systems and Time-delay

Albert C. J. Luo
Memorized Discrete Systems and Time delay Book PDF

Author : Albert C. J. Luo
Publisher : Springer
Page : 298 pages
File Size : 53,8 Mb
Release : 2016-11-18
Category : Technology & Engineering
ISBN : 9783319427782

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Memorized Discrete Systems and Time-delay by Albert C. J. Luo Pdf

This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system.

Advances in Time-Delay Systems

Silviu-Iulian Niculescu,Keqin Gu
Advances in Time Delay Systems Book PDF

Author : Silviu-Iulian Niculescu,Keqin Gu
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 40,5 Mb
Release : 2004-04-21
Category : Computers
ISBN : 3540208909

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

The book focuses on delay systems and their applications. Well-known experts in the field were brought together to present a wide panorama of interdisciplinary methods in handling stability, control and related numerical issues. By reading the book, the readers will get an up-to-date picture of this active area of research as well as representative methods used in this field. This book can be used as a reference for both experts and novices interested in the research of time-delay, numerical issues, as well as applications of time-delay systems.

Dynamical Systems

Albert C. J. Luo
Dynamical Systems Book PDF

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 52,7 Mb
Release : 2010-07-17
Category : Technology & Engineering
ISBN : 9781441957542

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Dynamical Systems by Albert C. J. Luo Pdf

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.

Linear Parameter-Varying and Time-Delay Systems

Corentin Briat
Linear Parameter Varying and Time Delay Systems Book PDF

Author : Corentin Briat
Publisher : Springer
Page : 394 pages
File Size : 41,5 Mb
Release : 2014-09-03
Category : Technology & Engineering
ISBN : 9783662440506

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Linear Parameter-Varying and Time-Delay Systems by Corentin Briat Pdf

This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.