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
  • [41] Finite-Time Mittag-Leffler Stability of Fractional-Order Quaternion-Valued Memristive Neural Networks with Impulses
    A. Pratap
    R. Raja
    J. Alzabut
    J. Dianavinnarasi
    J. Cao
    G. Rajchakit
    Neural Processing Letters, 2020, 51 : 1485 - 1526
  • [42] Finite-Time Mittag-Leffler Stability of Fractional-Order Quaternion-Valued Memristive Neural Networks with Impulses
    Pratap, A.
    Raja, R.
    Alzabut, J.
    Dianavinnarasi, J.
    Cao, J.
    Rajchakit, G.
    NEURAL PROCESSING LETTERS, 2020, 51 (02) : 1485 - 1526
  • [43] Finite-Time Synchronization and Exponential lag synchronization of quaternion-valued inertial fuzzy Cohen-Grossberg neural networks with impulsives and mixed delays
    Abdelaziz, Meryem
    Cherif, Farouk
    CHAOS SOLITONS & FRACTALS, 2024, 180
  • [44] Quasi-Stabilization Control of Quaternion-Valued Fractional-Order Memristive Neural Networks
    Ruoxia Li
    Jinde Cao
    Circuits, Systems, and Signal Processing, 2022, 41 : 6733 - 6749
  • [45] LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks
    Lin, Dongyuan
    Chen, Xiaofeng
    Li, Bing
    Yang, Xujun
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [46] Quasi-Stabilization Control of Quaternion-Valued Fractional-Order Memristive Neural Networks
    Li, Ruoxia
    Cao, Jinde
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (12) : 6733 - 6749
  • [47] Exponential stability analysis of quaternion-valued neural networks with proportional delays and linear threshold neurons: Continuous-time and discrete-time cases
    Li, Li
    Chen, Weisheng
    NEUROCOMPUTING, 2020, 381 : 152 - 166
  • [48] Stability of discrete-time fractional-order time-delayed neural networks in complex field
    Pratap, Anbalagan
    Raja, Ramachandran
    Cao, Jinde
    Huang, Chuangxia
    Niezabitowski, Michal
    Bagdasar, Ovidiu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) : 419 - 440
  • [49] New results for the stability of fractional-order discrete-time neural networks
    Hioual, Amel
    Oussaeif, Taki-Eddine
    Ouannas, Adel
    Grassi, Giuseppe
    Batiha, Iqbal M.
    Momani, Shaher
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 10359 - 10369
  • [50] Synchronization of fractional-order quaternion-valued neural networks with image encryption via event-triggered impulsive control
    Zhang, Yanlin
    Yang, Liqiao
    Kou, Kit Ian
    Liu, Yang
    KNOWLEDGE-BASED SYSTEMS, 2024, 296
12345