Stabilization control of quaternion-valued fractional-order discrete-time memristive neural networks

被引：8
|
作者：
Li, Ruoxia [1 ]
Cao, Jinde [2 ,3 ]
Li, Ning [4 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[3] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea
[4] Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China
来源：
NEUROCOMPUTING | 2023年 / 542卷
基金：
中国国家自然科学基金;
关键词：
Quaternion-valued; Fractional-order; Memristive; Discrete-time; Stabilization; STABILITY ANALYSIS;
D O I：
10.1016/j.neucom.2023.126255
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the stabilization control of the memristive neural networks with discrete-time terms and fractional derivative is proposed. By employing the Lyapunov functional method and fully considering the integrity of the quaternion system, some sufficient criteria are derived based on nonlinear scalarization approach and several inequality techniques. The stabilization criteria are established in the form of algebraic inequality, which can be directly resolved by a simple calculation. Finally, two numerical examples are proposed to demonstrate the validity of theoretical results.(c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] 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,
  • [2] Quasi-Stabilization Control of Quaternion-Valued Fractional-Order Memristive Neural Networks
    Ruoxia Li
    Jinde Cao
    Circuits, Systems, and Signal Processing, 2022, 41 : 6733 - 6749
  • [3] 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
  • [4] 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)
  • [5] 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
  • [6] Quasi-synchronization of discrete-time fractional-order quaternion-valued memristive neural networks with time delays and uncertain parameters
    Zhao, Mingfang
    Li, Hong-Li
    Zhang, Long
    Hu, Cheng
    Jiang, Haijun
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 453
  • [7] Quasi-projective synchronization of discrete-time fractional-order quaternion-valued neural networks
    Zhao M.
    Li H.-L.
    Zhang L.
    Hu C.
    Jiang H.
    Journal of the Franklin Institute, 2023, 360 (04) : 3263 - 3279
  • [8] 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):
  • [9] Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays
    He, Yan
    Zhang, Weiwei
    Zhang, Hai
    Chen, Dingyuan
    Cao, Jinde
    NEURAL NETWORKS, 2024, 179
  • [10] Finite-time stability of fractional-order quaternion-valued memristive neural networks with time delay
    Wang, Jingjing
    Xu, Hongbing
    Zhu, Song
    NEUROCOMPUTING, 2024, 607
12345