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Complex-Valued Neural Networks Systems with Time Delay

Stability Analysis and (Anti-)Synchronization Control

  • Book
  • © 2022

Overview

Authors:
  1. Ziye Zhang

    1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China

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  2. Zhen Wang

    1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China

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  3. Jian Chen

    1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, China

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  4. Chong Lin

    1. Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China

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  • Provides more complete interpretation of dynamical behaviors for complex-valued neural networks systems with time delay
  • Considers anti-synchronization control, finite/fixed-time synchronization, etc., from the point of cost saving
  • Diversifies stability forms including asymptotic stability, finite-time stability, and Lagrange exponential stability

Part of the book series: Intelligent Control and Learning Systems (ICLS, volume 4)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 1-26

  3. Stability Criterion for CVNNs with Constant Delay

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 27-36

  4. Further Stability Analysis for CVNNs with Constant Delay

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 37-52

  5. Hopf Bifurcation Analysis for CVNNs with Discrete and Distributed Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 53-77

  6. Finite-Time Stability Analysis for CVBAMNNs with Constant Delay

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 79-94

  7. Lagrange Exponential Stability for CVBAMNNs with Time-Varying Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 95-123

  8. Anti-synchronization Control for CVBAMNNs with Time-Varying Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 125-143

  9. Anti-synchronization Control for CVNNs with Mixed Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 145-159

  10. (Anti)-Synchronization for CVINNs with Time-Varying Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 161-179

  11. Fixed-Time Synchronization for CVBAMNNs with Time Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 181-204

  12. Fixed-Time Pinning Synchronization for CVINNs with Time-Varying Delays

    • Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin
    Pages 205-226

  13. Back Matter

    Pages 227-229
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Keywords

About this book

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.



Authors and Affiliations

  • College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China

    Ziye Zhang, Zhen Wang

  • School of Information and Control Engineering, Qingdao University of Technology, Qingdao, China

    Jian Chen

  • Institute of Complexity Science, College of Automation, Qingdao University, Qingdao, China

    Chong Lin

About the authors

Ziye Zhang received the B.Sc. degree in mathematics from Yantai University, Yantai, China, in 2002, the M.Sc. degree in mathematics from Lanzhou University, Lanzhou, China, in 2005, and the Ph.D. degree from the Institute of Complexity Science, Qingdao University, Qingdao, China, in 2015. She is currently Associate Professor with the College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China. Her current research interests include systems analysis, fuzzy control, filter design, and neural networks.


Zhen Wang is currently Professor at College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China. He received Ph.D. degree from School of Automation, Nanjing University of Science and Technology, China, in 2013.


Jian Chen is Associate Professor at School of information and Control Engineering, Qingdao University of Technology, Qingdao, China. She received her Ph.D. degree from Institute of Complexity Science, Qingdao University, in 2017. Her research interest includes systems analysis and control.


Chong Lin is Professor at Institute of Complexity Science, Qingdao University, China. He received Ph.D. from School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, in 1999.



Bibliographic Information

  • Book Title: Complex-Valued Neural Networks Systems with Time Delay

  • Book Subtitle: Stability Analysis and (Anti-)Synchronization Control

  • Authors: Ziye Zhang, Zhen Wang, Jian Chen, Chong Lin

  • Series Title: Intelligent Control and Learning Systems

  • DOI: https://doi.org/10.1007/978-981-19-5450-4

  • Publisher: Springer Singapore

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022

  • Hardcover ISBN: 978-981-19-5449-8Published: 06 November 2022

  • Softcover ISBN: 978-981-19-5452-8Published: 07 November 2023

  • eBook ISBN: 978-981-19-5450-4Published: 05 November 2022

  • Series ISSN: 2662-5458

  • Series E-ISSN: 2662-5466

  • Edition Number: 1

  • Number of Pages: XII, 229

  • Number of Illustrations: 1 b/w illustrations, 48 illustrations in colour

  • Topics: Control and Systems Theory, Mathematical Models of Cognitive Processes and Neural Networks

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