Network Based Analysis Of Dynamical Systems

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Network-Based Analysis of Dynamical Systems

Dániel Leitold,Ágnes Vathy-Fogarassy,János Abonyi
Network Based Analysis of Dynamical Systems Book PDF

Author : Dániel Leitold,Ágnes Vathy-Fogarassy,János Abonyi
Publisher : Springer Nature
Page : 119 pages
File Size : 45,5 Mb
Release : 2020-01-13
Category : Computers
ISBN : 9783030364724

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Network-Based Analysis of Dynamical Systems by Dániel Leitold,Ágnes Vathy-Fogarassy,János Abonyi Pdf

This book explores the key idea that the dynamical properties of complex systems can be determined by effectively calculating specific structural features using network science-based analysis. Furthermore, it argues that certain dynamical behaviours can stem from the existence of specific motifs in the network representation. Over the last decade, network science has become a widely applied methodology for the analysis of dynamical systems. Representing the system as a mathematical graph allows several network-based methods to be applied, and centrality and clustering measures to be calculated in order to characterise and describe the behaviours of dynamical systems. The applicability of the algorithms developed here is presented in the form of well-known benchmark examples. The algorithms are supported by more than 50 figures and more than 170 references; taken together, they provide a good overview of the current state of network science-based analysis of dynamical systems, and suggest further reading material for researchers and students alike. The files for the proposed toolbox can be downloaded from a corresponding website.

Dynamical Systems on Networks

Mason Porter,James Gleeson
Dynamical Systems on Networks Book PDF

Author : Mason Porter,James Gleeson
Publisher : Springer
Page : 80 pages
File Size : 40,8 Mb
Release : 2016-03-31
Category : Mathematics
ISBN : 9783319266411

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Dynamical Systems on Networks by Mason Porter,James Gleeson Pdf

This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.

Modelling, Analysis, and Control of Networked Dynamical Systems

Ziyang Meng,Tao Yang,Karl H. Johansson
Modelling Analysis and Control of Networked Dynamical Systems Book PDF

Author : Ziyang Meng,Tao Yang,Karl H. Johansson
Publisher : Springer Nature
Page : 169 pages
File Size : 40,6 Mb
Release : 2021-10-15
Category : Science
ISBN : 9783030846824

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Modelling, Analysis, and Control of Networked Dynamical Systems by Ziyang Meng,Tao Yang,Karl H. Johansson Pdf

This monograph provides a comprehensive exploration of new tools for modelling, analysis, and control of networked dynamical systems. Expanding on the authors’ previous work, this volume highlights how local exchange of information and cooperation among neighboring agents can lead to emergent global behaviors in a given networked dynamical system. Divided into four sections, the first part of the book begins with some preliminaries and the general networked dynamical model that is used throughout the rest of the book. The second part focuses on synchronization of networked dynamical systems, synchronization with non-expansive dynamics, periodic solutions of networked dynamical systems, and modulus consensus of cooperative-antagonistic networks. In the third section, the authors solve control problems with input constraint, large delays, and heterogeneous dynamics. The final section of the book is devoted to applications, studying control problems of spacecraft formation flying, multi-robot rendezvous, and energy resource coordination of power networks. Modelling, Analysis, and Control of Networked Dynamical Systems will appeal to researchers and graduate students interested in control theory and its applications, particularly those working in networked control systems, multi-agent systems, and cyber-physical systems. This volume can also be used in advanced undergraduate and graduate courses on networked control systems and multi-agent systems.

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Chai Wah Wu
Synchronization in Complex Networks of Nonlinear Dynamical Systems Book PDF

Author : Chai Wah Wu
Publisher : World Scientific
Page : 168 pages
File Size : 48,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812709745

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Synchronization in Complex Networks of Nonlinear Dynamical Systems by Chai Wah Wu Pdf

This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.

Nonlinear Dynamical Systems

Irwin W. Sandberg,James T. Lo,Craig L. Fancourt,José C. Principe,Shigeru Katagiri,Simon Haykin
Nonlinear Dynamical Systems Book PDF

Author : Irwin W. Sandberg,James T. Lo,Craig L. Fancourt,José C. Principe,Shigeru Katagiri,Simon Haykin
Publisher : John Wiley & Sons
Page : 316 pages
File Size : 49,6 Mb
Release : 2001-02-21
Category : Technology & Engineering
ISBN : 0471349119

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Nonlinear Dynamical Systems by Irwin W. Sandberg,James T. Lo,Craig L. Fancourt,José C. Principe,Shigeru Katagiri,Simon Haykin Pdf

Sechs erfahrene Autoren beschreiben in diesem Band ein Spezialgebiet der neuronalen Netze mit Anwendungen in der Signalsteuerung, Signalverarbeitung und Zeitreihenanalyse. Ein zeitgemäßer Beitrag zur Behandlung nichtlinear-dynamischer Systeme!

Recurrence Quantification Analysis

Charles L. Webber, Jr.,Norbert Marwan
Recurrence Quantification Analysis Book PDF

Author : Charles L. Webber, Jr.,Norbert Marwan
Publisher : Springer
Page : 421 pages
File Size : 50,7 Mb
Release : 2014-07-31
Category : Science
ISBN : 9783319071558

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Recurrence Quantification Analysis by Charles L. Webber, Jr.,Norbert Marwan Pdf

The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology, engineering, physics, geosciences, linguistics, finance, economics, and other disciplines. This multi-authored book intends to comprehensively introduce and showcase recent advances as well as established best practices concerning both theoretical and practical aspects of recurrence plot based analysis. Edited and authored by leading researcher in the field, the various chapters address an interdisciplinary readership, ranging from theoretical physicists to application-oriented scientists in all data-providing disciplines.

Isospectral Transformations

Leonid Bunimovich,Benjamin Webb
Isospectral Transformations Book PDF

Author : Leonid Bunimovich,Benjamin Webb
Publisher : Springer
Page : 189 pages
File Size : 47,7 Mb
Release : 2014-09-03
Category : Mathematics
ISBN : 9781493913756

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Isospectral Transformations by Leonid Bunimovich,Benjamin Webb Pdf

This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate how, together, these methods can be applied to gain new results in a number of areas. This includes the stability of time-delayed and non time-delayed dynamical networks, eigenvalue estimation, pseudospectra analysis and the estimation of survival probabilities in open dynamical systems. The theory of isospectral transformations, developed in this text, can be readily applied in any area that involves the analysis of multidimensional systems and is especially applicable to the analysis of network dynamics. This book will be of interest to Mathematicians, Physicists, Biologists, Engineers and to anyone who has an interest in the dynamics of networks.

Neural Network-Based State Estimation of Nonlinear Systems

Heidar A. Talebi,Farzaneh Abdollahi,Rajni V. Patel,Khashayar Khorasani
Neural Network Based State Estimation of Nonlinear Systems Book PDF

Author : Heidar A. Talebi,Farzaneh Abdollahi,Rajni V. Patel,Khashayar Khorasani
Publisher : Springer
Page : 166 pages
File Size : 48,9 Mb
Release : 2009-12-04
Category : Technology & Engineering
ISBN : 9781441914385

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Neural Network-Based State Estimation of Nonlinear Systems by Heidar A. Talebi,Farzaneh Abdollahi,Rajni V. Patel,Khashayar Khorasani Pdf

"Neural Network-Based State Estimation of Nonlinear Systems" presents efficient, easy to implement neural network schemes for state estimation, system identification, and fault detection and Isolation with mathematical proof of stability, experimental evaluation, and Robustness against unmolded dynamics, external disturbances, and measurement noises.

Analysis and Synthesis of Dynamical Systems with Time-Delays

Yuanqing Xia,Mengyin Fu,Peng Shi
Analysis and Synthesis of Dynamical Systems with Time Delays Book PDF

Author : Yuanqing Xia,Mengyin Fu,Peng Shi
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 52,5 Mb
Release : 2009-09-07
Category : Technology & Engineering
ISBN : 9783642026959

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Analysis and Synthesis of Dynamical Systems with Time-Delays by Yuanqing Xia,Mengyin Fu,Peng Shi Pdf

Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

Structural Analysis of Complex Networks

Matthias Dehmer
Structural Analysis of Complex Networks Book PDF

Author : Matthias Dehmer
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 40,6 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780817647896

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Structural Analysis of Complex Networks by Matthias Dehmer Pdf

Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized. The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

Olejnik Pawel,Feckan Michal,Awrejcewicz Jan
Modeling Analysis And Control Of Dynamical Systems With Friction And Impacts Book PDF

Author : Olejnik Pawel,Feckan Michal,Awrejcewicz Jan
Publisher : #N/A
Page : 276 pages
File Size : 48,7 Mb
Release : 2017-07-07
Category : Mathematics
ISBN : 9789813225305

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Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts by Olejnik Pawel,Feckan Michal,Awrejcewicz Jan Pdf

This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.

Recent Advances in Control Problems of Dynamical Systems and Networks

Ju H. Park
Recent Advances in Control Problems of Dynamical Systems and Networks Book PDF

Author : Ju H. Park
Publisher : Springer Nature
Page : 548 pages
File Size : 43,5 Mb
Release : 2020-08-11
Category : Technology & Engineering
ISBN : 9783030491239

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Recent Advances in Control Problems of Dynamical Systems and Networks by Ju H. Park Pdf

This edited book introduces readers to new analytical techniques and controller design schemes used to solve the emerging “hottest” problems in dynamic control systems and networks. In recent years, the study of dynamic systems and networks has faced major changes and challenges with the rapid advancement of IT technology, accompanied by the 4th Industrial Revolution. Many new factors that now have to be considered, and which haven’t been addressed from control engineering perspectives to date, are naturally emerging as the systems become more complex and networked. The general scope of this book includes the modeling of the system itself and uncertainty elements, examining stability under various criteria, and controller design techniques to achieve specific control objectives in various dynamic systems and networks. In terms of traditional stability matters, this includes the following special issues: finite-time stability and stabilization, consensus/synchronization, fault-tolerant control, event-triggered control, and sampled-data control for classical linear/nonlinear systems, interconnected systems, fractional-order systems, switched systems, neural networks, and complex networks. In terms of introducing graduate students and professional researchers studying control engineering and applied mathematics to the latest research trends in the areas mentioned above, this book offers an excellent guide.

Neural Network-Based Adaptive Control of Uncertain Nonlinear Systems

Kasra Esfandiari,Farzaneh Abdollahi,Heidar A. Talebi
Neural Network Based Adaptive Control of Uncertain Nonlinear Systems Book PDF

Author : Kasra Esfandiari,Farzaneh Abdollahi,Heidar A. Talebi
Publisher : Springer Nature
Page : 181 pages
File Size : 40,9 Mb
Release : 2021-06-18
Category : Technology & Engineering
ISBN : 9783030731366

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Neural Network-Based Adaptive Control of Uncertain Nonlinear Systems by Kasra Esfandiari,Farzaneh Abdollahi,Heidar A. Talebi Pdf

The focus of this book is the application of artificial neural networks in uncertain dynamical systems. It explains how to use neural networks in concert with adaptive techniques for system identification, state estimation, and control problems. The authors begin with a brief historical overview of adaptive control, followed by a review of mathematical preliminaries. In the subsequent chapters, they present several neural network-based control schemes. Each chapter starts with a concise introduction to the problem under study, and a neural network-based control strategy is designed for the simplest case scenario. After these designs are discussed, different practical limitations (i.e., saturation constraints and unavailability of all system states) are gradually added, and other control schemes are developed based on the primary scenario. Through these exercises, the authors present structures that not only provide mathematical tools for navigating control problems, but also supply solutions that are pertinent to real-life systems.

Qualitative Analysis and Control of Complex Neural Networks with Delays

Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Qualitative Analysis and Control of Complex Neural Networks with Delays Book PDF

Author : Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Publisher : Springer
Page : 388 pages
File Size : 52,7 Mb
Release : 2015-07-18
Category : Technology & Engineering
ISBN : 9783662474846

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Qualitative Analysis and Control of Complex Neural Networks with Delays by Zhanshan Wang,Zhenwei Liu,Chengde Zheng Pdf

This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.

Chaotic Signal Processing

Henry Leung
Chaotic Signal Processing Book PDF

Author : Henry Leung
Publisher : SIAM
Page : 189 pages
File Size : 53,5 Mb
Release : 2013-12-05
Category : Science
ISBN : 9781611973259

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Chaotic Signal Processing by Henry Leung Pdf

An authoritative guide to up-to-date research results on chaotic signal processing aimed at researchers and graduate students in chaos, applied nonlinear dynamics, signal processing and radar communications. This book examines the applications of chaotic signal processing to radar, communications, system identification and computing.