Fixed-time and prescribed-time synchronization of quaternion-valued neural networks: A control strategy involving Lyapunov functions

被引：14
作者：
Peng, Tao [1 ,2 ]
Wu, Yanqiu [1 ]
Tu, Zhengwen [1 ]
Alofi, A. S. [4 ]
Lu, Jianquan [2 ,3 ]
机构：
[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China
[2] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China
[3] Linyi Univ, Sch Automation & Elect Engn, Linyi 276005, Peoples R China
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
NEURAL NETWORKS | 2023年 / 160卷
基金：
中国国家自然科学基金;
关键词：
Finite -time synchronization; Prescribed -time synchronization; Quaternion-valued neural networks; FINITE-TIME; STABILIZATION; STABILITY; SYSTEMS;
D O I：
10.1016/j.neunet.2022.12.014
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A control strategy containing Lyapunov functions is proposed in this paper. Based on this strategy, the fixed-time synchronization of a time-delay quaternion-valued neural network (QVNN) is analyzed. This strategy is extended to the prescribed-time synchronization of the QVNN. Furthermore, an improved two-step switching control strategy is also proposed based on this flexible control strategy. Compared with some existing methods, the main method of this paper is a non-decomposition one, does not contain a sign function in the controller, and has better synchronization accuracy. Two numerical examples verify the above advantages.(c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页码：108 / 121
页数：14
相关论文
共 46 条
  • [1] Soft variable-structure controls: a survey
    Adamy, J
    Flemming, A
    [J]. AUTOMATICA, 2004, 40 (11) : 1821 - 1844
  • [2] Global Dissipativity Analysis and Stability Analysis for Fractional-Order Quaternion-Valued Neural Networks With Time Delays
    Ali, M. Syed
    Narayanan, G.
    Nahavandi, Saeid
    Wang, Jin-Liang
    Cao, Jinde
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (07): : 4046 - 4056
  • [3] [Anonymous], 2004, P 2 INT C AUT ROB AG
  • [4] Finite-time stability of continuous autonomous systems
    Bhat, SP
    Bernstein, DS
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) : 751 - 766
  • [5] Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach
    Cai, Fei
    Lu, Zuliang
    Yang, Jiayuan
    Xu, Ruixiang
    Xing, Lu
    [J]. APPLIED MATHEMATICAL MODELLING, 2023, 113 : 376 - 397
  • [6] Finite-time stabilization and energy consumption estimation for delayed neural networks with bounded activation function
    Chen, Chongyang
    Zhu, Song
    Wang, Min
    Yang, Chunyu
    Zeng, Zhigang
    [J]. NEURAL NETWORKS, 2020, 131 : 163 - 171
  • [7] Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties
    Chen, Xiaofeng
    Li, Zhongshan
    Song, Qiankun
    Hu, Jin
    Tan, Yuanshun
    [J]. NEURAL NETWORKS, 2017, 91 : 55 - 65
  • [8] QUATERNION CALCULUS
    DEAVOURS, CA
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1973, 80 (09) : 995 - 1008
  • [9] Fixed-time synchronization of quaternion-valued neural networks
    Deng, Hui
    Bao, Haibo
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [10] Nonseparation Method-Based Finite/Fixed-Time Synchronization of Fully Complex-Valued Discontinuous Neural Networks
    Feng, Liang
    Yu, Juan
    Hu, Cheng
    Yang, Chengdong
    Jiang, Haijun
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (06) : 3212 - 3223
12345