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Complex-Valued Neural Networks Systems with Time Delay

Complex-Valued Neural Networks Systems with Time Delay
Author: Ziye Zhang
Publisher: Springer Nature
Total Pages: 236
Release: 2022-11-05
Genre: Technology & Engineering
ISBN: 981195450X

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This book provides up-to-date developments in the stability analysis and (anti-)synchronization control area for complex-valued neural networks systems with time delay. It brings out the characteristic systematism in them and points out further insight to solve relevant problems. It presents a comprehensive, up-to-date, and detailed treatment of dynamical behaviors including stability analysis and (anti-)synchronization control. The materials included in the book are mainly based on the recent research work carried on by the authors in this domain. The book is a useful reference for all those from senior undergraduates, graduate students, to senior researchers interested in or working with control theory, applied mathematics, system analysis and integration, automation, nonlinear science, computer and other related fields, especially those relevant scientific and technical workers in the research of complex-valued neural network systems, dynamic systems, and intelligent control theory.


Complex-valued Neural Networks

Complex-valued Neural Networks
Author: Akira Hirose
Publisher: World Scientific
Total Pages: 387
Release: 2003
Genre: Computers
ISBN: 9812384642

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In recent years, complex-valued neural networks have widened the scope of application in optoelectronics, imaging, remote sensing, quantum neural devices and systems, spatiotemporal analysis of physiological neural systems, and artificial neural information processing. In this first-ever book on complex-valued neural networks, the most active scientists at the forefront of the field describe theories and applications from various points of view to provide academic and industrial researchers with a comprehensive understanding of the fundamentals, features and prospects of the powerful complex-valued networks.


Complex-Valued Neural Networks: Utilizing High-Dimensional Parameters

Complex-Valued Neural Networks: Utilizing High-Dimensional Parameters
Author: Nitta, Tohru
Publisher: IGI Global
Total Pages: 504
Release: 2009-02-28
Genre: Computers
ISBN: 1605662151

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"This book covers the current state-of-the-art theories and applications of neural networks with high-dimensional parameters"--Provided by publisher.


Complex-valued Neural Networks

Complex-valued Neural Networks
Author: Akira Hirose
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 363
Release: 2003
Genre: Computers
ISBN: 9789812384645

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In recent years, complex-valued neural networks have widened the scope of application in optoelectronics, imaging, remote sensing, quantum neural devices and systems, spatiotemporal analysis of physiological neural systems, and artificial neural information processing. In this first-ever book on complex-valued neural networks, the most active scientists at the forefront of the field describe theories and applications from various points of view to provide academic and industrial researchers with a comprehensive understanding of the fundamentals, features and prospects of the powerful complex-valued networks.


Research Trends in Multidisciplinary subjects - Volume 2

Research Trends in Multidisciplinary subjects - Volume 2
Author: Sruthi.S, Dr.D. David WinsterPraveenraj
Publisher: Archers & Elevators Publishing House
Total Pages: 273
Release:
Genre: Antiques & Collectibles
ISBN: 9390996678

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Complex-Valued Neural Networks

Complex-Valued Neural Networks
Author: Akira Hirose
Publisher: Springer
Total Pages: 180
Release: 2007-01-11
Genre: Computers
ISBN: 3540334572

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This monograph instructs graduate- and undergraduate-level students in electrical engineering, informatics, control engineering, mechanics, robotics, bioengineering on the concepts of complex-valued neural networks. Emphasizing basic concepts and ways of thinking about neural networks, the author focuses on neural networks that deal with complex numbers; the practical advantages of complex-valued neural networks, and their origins; the development of principal applications? The book uses detailed examples to answer these questions and more.


Stability Analysis of Neural Networks

Stability Analysis of Neural Networks
Author: Grienggrai Rajchakit
Publisher: Springer Nature
Total Pages: 415
Release: 2021-12-05
Genre: Mathematics
ISBN: 9811665346

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This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists.


Qualitative Analysis and Control of Complex Neural Networks with Delays

Qualitative Analysis and Control of Complex Neural Networks with Delays
Author: Zhanshan Wang
Publisher: Springer
Total Pages: 398
Release: 2015-07-18
Genre: Technology & Engineering
ISBN: 3662474840

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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.


Complex-Valued Neural Networks

Complex-Valued Neural Networks
Author: Akira Hirose
Publisher: Springer Science & Business Media
Total Pages: 205
Release: 2012-03-23
Genre: Computers
ISBN: 3642276318

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This book is the second enlarged and revised edition of the first successful monograph on complex-valued neural networks (CVNNs) published in 2006, which lends itself to graduate and undergraduate courses in electrical engineering, informatics, control engineering, mechanics, robotics, bioengineering, and other relevant fields. In the second edition the recent trends in CVNNs research are included, resulting in e.g. almost a doubled number of references. The parametron invented in 1954 is also referred to with discussion on analogy and disparity. Also various additional arguments on the advantages of the complex-valued neural networks enhancing the difference to real-valued neural networks are given in various sections. The book is useful for those beginning their studies, for instance, in adaptive signal processing for highly functional sensing and imaging, control in unknown and changing environment, robotics inspired by human neural systems, and brain-like information processing, as well as interdisciplinary studies to realize comfortable society. It is also helpful to those who carry out research and development regarding new products and services at companies. The author wrote this book hoping in particular that it provides the readers with meaningful hints to make good use of neural networks in fully practical applications. The book emphasizes basic ideas and ways of thinking. Why do we need to consider neural networks that deal with complex numbers? What advantages do the complex-valued neural networks have? What is the origin of the advantages? In what areas do they develop principal applications? This book answers these questions by describing details and examples, which will inspire the readers with new ideas. The book is useful for those beginning their studies, for instance, in adaptive signal processing for highly functional sensing and imaging, control in unknown and changing environment, robotics inspired by human neural systems, and brain-like information processing, as well as interdisciplinary studies to realize comfortable society. It is also helpful to those who carry out research and development regarding new products and services at companies. The author wrote this book hoping in particular that it provides the readers with meaningful hints to make good use of neural networks in fully practical applications. The book emphasizes basic ideas and ways of thinking. Why do we need to consider neural networks that deal with complex numbers? What advantages do the complex-valued neural networks have? What is the origin of the advantages? In what areas do they develop principal applications? This book answers these questions by describing details and examples, which will inspire the readers with new ideas.


Complex Time-Delay Systems

Complex Time-Delay Systems
Author: Fatihcan M. Atay
Publisher: Springer
Total Pages: 336
Release: 2010-03-10
Genre: Science
ISBN: 3642023290

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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.