Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays

被引：0
|
作者：
He, Yan [1 ]
Zhang, Weiwei [1 ,2 ,3 ]
Zhang, Hai [1 ,3 ]
Chen, Dingyuan [1 ]
Cao, Jinde [4 ]
机构：
[1] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210093, Peoples R China
[3] Anqing Normal Univ, Key Lab Modeling Simulat & Control Complex Ecol Mo, Anqing 246011, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
NEURAL NETWORKS | 2024年 / 179卷
关键词：
Discrete-time; Lag projective synchronization; Quaternion-valued; Sign function controller; MITTAG-LEFFLER STABILITY;
D O I：
10.1016/j.neunet.2024.106532
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with the lag projective synchronization (LPS) problem for a class of discrete-time fractional- order quaternion-valued neural networks(DTFO QVNNs) systems with time delays. Firstly, a DTFOQVNNs system with time delay is constructed. Secondly, linear and adaptive feedback controllers with sign function are designed respectively. Furthermore, through Lyapunov direct method, DTFO inequality technique and Razumikhin theorem, some sufficiency criteria are obtained to ensure that the system in this article can achieve LPS. At last, the significance of the theoretical part of this paper is verified through numerical simulation.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays
    Zhao, Mingfang
    Li, Hong-Li
    Yang, Juanping
    Zhang, Long
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (07)
  • [2] Synchronization Analysis of Discrete-Time Fractional-Order Quaternion-Valued Uncertain Neural Networks
    Li, Hong-Li
    Cao, Jinde
    Hu, Cheng
    Jiang, Haijun
    Alsaadi, Fawaz E.
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (10) : 14178 - 14189
  • [3] Stabilization control of quaternion-valued fractional-order discrete-time memristive neural networks
    Li, Ruoxia
    Cao, Jinde
    Li, Ning
    NEUROCOMPUTING, 2023, 542
  • [4] Global Mittag-Leffler stability and synchronization of discrete-time fractional-order delayed quaternion-valued neural networks
    Chen, Shenglong
    Li, Hong-Li
    Bao, Haibo
    Zhang, Long
    Jiang, Haijun
    Li, Zhiming
    NEUROCOMPUTING, 2022, 511 : 290 - 298
  • [5] Finite-time projective synchronization of fractional-order delayed quaternion-valued fuzzy memristive neural networks
    He, Yan
    Zhang, Weiwei
    Zhang, Hai
    Cao, Jinde
    Alsaadi, Fawaz E.
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (03): : 401 - 425
  • [6] DISSIPATIVE AND DISSIPATIVITY ANALYSIS FOR QUATERNION-VALUED FRACTIONAL-ORDER DISCRETE-TIME MEMRISTIVE NEURAL NETWORKS
    Wei, Hongzhi
    Li, Ruoxia
    Li, Ning
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2023, : 1 - 15
  • [7] Global stability and synchronization of stochastic discrete-time variable-order fractional-order delayed quaternion-valued neural networks
    Ran, Jie
    Zhou, Yonghui
    Pu, Hao
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 226 : 413 - 437
  • [8] Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks
    Li, Ruoxia
    Cao, Jinde
    Xue, Changfeng
    Manivannan, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 395 (395)
  • [9] Projective synchronization in finite-time for fully quaternion-valued memristive networks with fractional-order
    Yang, Shuai
    Hu, Cheng
    Yu, Juan
    Jiang, Haijun
    CHAOS SOLITONS & FRACTALS, 2021, 147
  • [10] Synchronization of heterogeneous discrete-time fractional-order quaternion-valued neural networks with time delay and parameter uncertainty using the impulsive method
    Zhang, Xingpeng
    Li, Yuru
    Guo, Peng
    Gao, Meilin
    JOURNAL OF VIBRATION AND CONTROL, 2024,
12345