Synchronization Analysis for Quaternion-Valued Delayed Neural Networks with Impulse and Inertia via a Direct Technique

被引:1
|
作者
Yu, Juan [1 ,2 ]
Xiong, Kailong [1 ]
Hu, Cheng [1 ,2 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R China
基金
中国国家自然科学基金;
关键词
synchronization; inertial neural network; quaternion; impulse; FIXED-TIME SYNCHRONIZATION; LAG SYNCHRONIZATION; STABILITY; STABILIZATION;
D O I
10.3390/math12070949
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The asymptotic synchronization of quaternion-valued delayed neural networks with impulses and inertia is studied in this article. Firstly, a convergence result on piecewise differentiable functions is developed, which is a generalization of the Barbalat lemma and provides a powerful tool for the convergence analysis of discontinuous systems. To achieve synchronization, a constant gain-based control scheme and an adaptive gain-based control strategy are directly proposed for response quaternion-valued models. In the convergence analysis, a direct analysis method is developed to discuss the synchronization without using the separation technique or reduced-order transformation. In particular, some Lyapunov functionals, composed of the state variables and their derivatives, are directly constructed and some synchronization criteria represented by matrix inequalities are obtained based on quaternion theory. Some numerical results are shown to further confirm the theoretical analysis.
引用
收藏
页数:22
相关论文
共 50 条
  • [1] Synchronization analysis of delayed quaternion-valued memristor-based neural networks by a direct analytical approach
    Guo, Jun
    Shi, Yanchao
    Wang, Shengye
    ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (05): : 3377 - 3395
  • [2] Global dissipativity analysis for delayed quaternion-valued neural networks
    Tu, Zhengwen
    Cao, Jinde
    Alsaedi, Ahmed
    Hayat, Tasawar
    NEURAL NETWORKS, 2017, 89 : 97 - 104
  • [3] Stability analysis for delayed quaternion-valued neural networks via nonlinear measure approach
    Tu, Zhengwen
    Cao, Jinde
    Alsaedi, Ahmed
    Ahmad, Bashir
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (03): : 361 - 379
  • [4] Global Mittag-Leffler synchronization of fractional-order delayed quaternion-valued neural networks: Direct quaternion approach
    Li, Hong-Li
    Zhang, Long
    Hu, Cheng
    Jiang, Haijun
    Cao, Jinde
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 373
  • [5] Stability and Synchronization of Delayed Quaternion-Valued Neural Networks under Multi-Disturbances
    Yang, Jibin
    Xu, Xiaohui
    Xu, Quan
    Yang, Haolin
    Yu, Mengge
    MATHEMATICS, 2024, 12 (06)
  • [6] Fixed time synchronization of delayed quaternion-valued memristor-based neural networks
    Dingyuan Chen
    Weiwei Zhang
    Jinde Cao
    Chuangxia Huang
    Advances in Difference Equations, 2020
  • [7] Impulsive disturbance on stability analysis of delayed quaternion-valued neural networks
    Wang, Huamin
    Wei, Guoliang
    Wen, Shiping
    Huang, Tingwen
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 390 (390)
  • [8] Fixed time synchronization of delayed quaternion-valued memristor-based neural networks
    Chen, Dingyuan
    Zhang, Weiwei
    Cao, Jinde
    Huang, Chuangxia
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [9] Fixed-Time Pinning Common Synchronization and Adaptive Synchronization for Delayed Quaternion-Valued Neural Networks
    Zhang, Ziye
    Wei, Xiaofeng
    Wang, Shuzhan
    Lin, Chong
    Chen, Jian
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (02) : 2276 - 2289
  • [10] Synchronization Control of Quaternion-Valued Neural Networks with Parameter Uncertainties
    Wei, Hongzhi
    Wu, Baowei
    Li, Ruoxia
    NEURAL PROCESSING LETTERS, 2020, 51 (02) : 1465 - 1484