The stochastic fixed-time synchronization of delays neural networks driven by Levy noise

被引：0
作者：
Li, Chao [1 ]
Xu, Xiaofeng [2 ]
Liu, Ming [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2024年 / 190卷
基金：
中国国家自然科学基金;
关键词：
Stochastic; Neural networks; Fixed-time synchronization; Levy noise; Time-delays; STABILITY; SYSTEMS; DESIGN;
D O I：
10.1016/j.sysconle.2024.105839
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Levy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Levy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Levy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.
引用
收藏
页数：9
相关论文
共 50 条
  • [41] Fixed-time synchronization of stochastic complex networks with mixed delays via intermittent control
    Wang, Mingyu
    Qiu, Jianlong
    Yan, Yuying
    Zhao, Feng
    Chen, Xiangyong
    IFAC PAPERSONLINE, 2022, 55 (03): : 96 - 101
  • [42] Fixed-Time Synchronization of Complex Dynamical Networks: A Novel and Economical Mechanism
    Li, Na
    Wu, Xiaoqun
    Feng, Jianwen
    Lu, Jinhu
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (06) : 4430 - 4440
  • [43] Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks
    Hu, Cheng
    Yu, Juan
    Chen, Zhanheng
    Jiang, Haijun
    Huang, Tingwen
    NEURAL NETWORKS, 2017, 89 : 74 - 83
  • [44] Fixed-time synchronization of quaternion-valued neural networks
    Deng, Hui
    Bao, Haibo
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [45] Fixed-Time Synchronization of Competitive Neural Networks With Multiple Time Scales
    Yang, Wu
    Wang, Yan-Wu
    Morarescu, Irinel-Constantin
    Liu, Xiao-Kang
    Huang, Yuehua
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (08) : 4133 - 4138
  • [46] Fixed-Time Anti-synchronization and Preassigned-Time Synchronization of Discontinuous Fuzzy Inertial Neural Networks with Bounded Distributed Time-Varying Delays
    Liu, Yang
    Zhang, Guodong
    Hu, Junhao
    NEURAL PROCESSING LETTERS, 2023, 55 (03) : 3333 - 3353
  • [47] Fixed-Time Synchronization of Coupled Neural Networks With Discontinuous Activation and Mismatched Parameters
    Li, Na
    Wu, Xiaoqun
    Feng, Jianwen
    Xu, Yuhua
    Lu, Jinhu
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (06) : 2470 - 2482
  • [48] Fixed-time synchronization for coupled delayed neural networks with discontinuous or continuous activations
    Lu, Hui
    He, Wangli
    Han, Qing-Long
    Peng, Chen
    NEUROCOMPUTING, 2018, 314 : 143 - 153
  • [49] Robust fixed-time synchronization of delayed Cohen-Grossberg neural networks
    Wan, Ying
    Cao, Jinde
    Wen, Guanghui
    Yu, Wenwu
    NEURAL NETWORKS, 2016, 73 : 86 - 94
  • [50] Fixed-time synchronization of stochastic complex networks with Markov jump and mixed delays via adaptive non-chattering control
    Liu, Yu
    Liu, Ming
    Xu, Xiaofeng
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2022, 43 (02) : 339 - 353
12345