Asymptotically Almost Automorphic Solutions for Impulsive Quaternion-Valued Neural Networks with Mixed Delays

被引：1
|
作者：
Jiang, Quande [1 ]
Wang, Qiru [2 ]
机构：
[1] Guangdong Ind Polytech, Math Teaching & Res Dept, 152, Xingang Xi Rd, Guangzhou 510300, Guangdong, Peoples R China
[2] Sun Yat sen Univ, Sch Math, 135, Xingang Xi Rd, Guangzhou 510275, Guangdong, Peoples R China
来源：
NEURAL PROCESSING LETTERS | 2023年 / 55卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Impulsive quaternion-valued neural networks with mixed delays; Asymptotically almost automorphic solutions; Existence uniqueness and global exponential stability; Generalized Gronwall-Bellman inequality technique; ALMOST-PERIODIC-SOLUTIONS; EXPONENTIAL STABILITY; LEAKAGE TERMS; EXISTENCE; SYNCHRONIZATION;
D O I：
10.1007/s11063-023-11434-7
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, we consider a class of impulsive quaternion-valued neural networks with mixed delays. By using the General Lipschitz condition, the contraction mapping principle, the exponential dichotomy of linear dynamic equations and the generalized Gronwall-Bellman inequality technique, we obtain the conditions for the existence, uniqueness and global exponential stability of asymptotically almost automorphic solutions of the system. Finally, two examples are given to illustrate the efficiency of our theoretical results.
引用
收藏
页码：12597 / 12624
页数：28
相关论文
共 50 条
  • [41] Pseudo-almost-periodic solutions of quaternion-valued RNNs with mixed delays via a direct method
    Yongkun Li
    Jianglian Xiang
    Bing Li
    Journal of Inequalities and Applications, 2020
  • [42] Impulsive disturbance on stability analysis of delayed quaternion-valued neural networks
    Wang, Huamin
    Wei, Guoliang
    Wen, Shiping
    Huang, Tingwen
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 390 (390)
  • [43] Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term
    Li, Yongkun
    Meng, Xiaofang
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (11) : 2490 - 2505
  • [44] Square-Mean Pseudo Almost Periodic Solutions for Quaternion-Valued Stochastic Neural Networks with Time-Varying Delays
    Hou, Yuanyuan
    Dai, Lihua
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [45] Periodic solutions for quaternion-valued fuzzy cellular neural networks with time-varying delays
    Li, Yongkun
    Qin, Jiali
    Li, Bing
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [46] State Estimation for Quaternion-Valued Neural Networks With Multiple Time Delays
    Chen, Xiaofeng
    Song, Qiankun
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2019, 49 (11): : 2278 - 2287
  • [47] Periodic solutions for quaternion-valued fuzzy cellular neural networks with time-varying delays
    Yongkun Li
    Jiali Qin
    Bing Li
    Advances in Difference Equations, 2019
  • [48] Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
    Huo, Nina
    Li, Yongkun
    COMPLEXITY, 2018,
  • [49] Antiperiodic solutions to delayed inertial quaternion-valued neural networks
    Xu, Changjin
    Li, Peiluan
    Liao, Maoxin
    Liu, Zixin
    Xiao, Qimei
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (12) : 7326 - 7344
  • [50] Almost periodic solutions of quaternion-valued neutral type high-order Hopfield neural networks with state-dependent delays and leakage delays
    Li, Yongkun
    Xiang, Jianglian
    Li, Bing
    APPLIED INTELLIGENCE, 2020, 50 (07) : 2067 - 2078
12345