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
  • [21] FIXED/PREASSIGNED-TIME SYNCHRONIZATION OF QUATERNION-VALUED NEURAL NETWORKS INVOLVING DELAYS AND DISCONTINUOUS ACTIVATIONS: A DIRECT APPROACH
    Wei, Wanlu
    Hu, Cheng
    Yu, Juan
    Jiang, Haijun
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (03) : 1439 - 1461
  • [22] Preassigned-time projective synchronization of delayed fully quaternion-valued discontinuous neural networks with parameter uncertainties
    Pu, Hao
    Li, Fengjun
    Wang, Qingyun
    Li, Pengzhen
    NEURAL NETWORKS, 2023, 165 : 740 - 754
  • [23] Quasi-synchronization control of quaternion-valued fuzzy memristive neural networks
    Li, Ruoxia
    Cao, Jinde
    Li, Ning
    FUZZY SETS AND SYSTEMS, 2023, 472
  • [24] Fixed-time synchronization of quaternion-valued neural networks with time-varying delay
    Kumar, Umesh
    Das, Subir
    Huang, Chuangxia
    Cao, Jinde
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 476 (2241):
  • [25] Quasi-Synchronization and Bifurcation Results on Fractional-Order Quaternion-Valued Neural Networks
    Kandasamy, Udhayakumar
    Li, Xiaodi
    Rajan, Rakkiyappan
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (10) : 4063 - 4072
  • [26] QUASI-PROJECTIVE SYNCHRONIZATION ANALYSIS FOR DELAYED STOCHASTIC QUATERNION-VALUED NEURAL NETWORKS VIA STATE-FEEDBACK CONTROL STRATEGY
    Li, Zhouhong
    Meng, Xiaofang
    Hu, Kaipeng
    Fei, Yu
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (04): : 2411 - 2430
  • [27] Predefined Synchronization of Mixed and Leakage-Delayed Quaternion-Valued Neural Network
    Shukla, Vijay K.
    Joshi, Mahesh C.
    Mishra, Prashant K.
    Mousavi, Yashar
    Zadeh, Maryam Raeis
    Fekih, Afef
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2025, 13 (02)
  • [28] Synchronization control of quaternion-valued memristive neural networks with and without event-triggered scheme
    Wei, Ruoyu
    Cao, Jinde
    COGNITIVE NEURODYNAMICS, 2019, 13 (05) : 489 - 502
  • [29] Fixed-time synchronization of quaternion-valued neural networks with impulsive effects: A non-decomposition method
    Peng, Tao
    Lu, Jianquan
    Xiong, Jiang
    Tu, Zhengwen
    Liu, Yang
    Lou, Jungang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 132
  • [30] Direct approach-based synchronization of fully quaternion-valued neural networks with inertial term and time-varying delay
    Xiong, Kailong
    Hu, Cheng
    Yu, Juan
    CHAOS SOLITONS & FRACTALS, 2023, 172