Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays

被引：75
作者：
Bao, Haibo [1 ,2 ]
Park, Ju H. [2 ]
Cao, Jinde [3 ,4 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 38541, South Korea
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 270卷
基金：
中国国家自然科学基金;
关键词：
Exponential synchronization; Anti-synchronization; Matrix measure; Memristor-based neural networks; Linear control; Time-varying delays; COMPLEX DYNAMICAL NETWORK; GLOBAL SYNCHRONIZATION; CHAOTIC SYSTEMS; STABILITY; DISCRETE; ELEMENT;
D O I：
10.1016/j.amc.2015.08.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with exponential synchronization and anti-synchronization of memristor-based neural networks. Under the framework of Filippov systems and a linear controller, the exponential synchronization and anti-synchronization criteria for memristor-based neural networks can be guaranteed by the matrix measure and Halanay inequality. The criteria are very simple to implement in practice. Finally, two numerical examples are given to demonstrate the correctness of the theoretical results. It is shown that the matrix measure can increase the exponential convergence rate and decrease the feedback gain effectively. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：543 / 556
页数：14
相关论文
共 50 条
  • [21] Finite-time synchronization for memristor-based neural networks with time-varying delays
    Abdurahman, Abdujelil
    Jiang, Haijun
    Teng, Zhidong
    NEURAL NETWORKS, 2015, 69 : 20 - 28
  • [22] The Exponential Synchronization and Asymptotic Synchronization of Quaternion-Valued Memristor-Based Cohen–Grossberg Neural Networks with Time-Varying Delays
    Yanzhao Cheng
    Yanchao Shi
    Neural Processing Letters, 2023, 55 : 6637 - 6656
  • [23] Anti-synchronization of complex-valued memristor-based delayed neural networks
    Liu, Dan
    Zhu, Song
    Sun, Kaili
    NEURAL NETWORKS, 2018, 105 : 1 - 13
  • [24] Finite-time anti-synchronization of neural networks with time-varying delays
    Wang, Lili
    Chen, Tianping
    NEUROCOMPUTING, 2018, 275 : 1595 - 1600
  • [25] Stability and synchronization of memristor-based, coupling neural networks with time-varying delays via intermittent control
    Zhang, Wei
    Li, Chuandong
    Huang, Tingwen
    Huang, Junjian
    NEUROCOMPUTING, 2016, 173 : 1066 - 1072
  • [26] Projective synchronization for quaternion-valued memristor-based neural networks under time-varying delays
    Guo, Jun
    Shi, Yanchao
    Cheng, Yanzhao
    Luo, Weihua
    NETWORKS AND HETEROGENEOUS MEDIA, 2024, 19 (03) : 1156 - 1181
  • [27] Function projective synchronization of memristor-based Cohen-Grossberg neural networks with time-varying delays
    Abdurahman, Abdujelil
    Jiang, Haijun
    Rahman, Kaysar
    COGNITIVE NEURODYNAMICS, 2015, 9 (06) : 603 - 613
  • [28] Impulsive Exponential Synchronization of Coupled Fuzzy Neural Networks with Time-Varying Delays
    Zhou, Jianting
    Song, Qiankun
    Yang, Jianxi
    ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 482 - +
  • [29] Synchronization and anti-synchronization for complex-valued inertial neural networks with time-varying delays
    Wei, Xiaofeng
    Zhang, Ziye
    Lin, Chong
    Chen, Jian
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 403
  • [30] Adaptive Synchronization of Fractional-Order Memristor-Based Neural Networks with Multiple Time-Varying Delays
    Jia, Jia
    Huang, Xia
    Li, Yuxia
    Wang, Zhen
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 1229 - 1234
12345