Fixed-Time Synchronization of Reaction-Diffusion Fuzzy Neural Networks with Stochastic Perturbations

被引：5
|
作者：
Sadik, Hayrengul [1 ]
Abdurahman, Abdujelil [1 ]
Tohti, Rukeya [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 06期
基金：
中国国家自然科学基金;
关键词：
fixed-time synchronization; reaction-diffusion term; stochastic perturbation; fuzzy neural network; EXPONENTIAL STABILITY;
D O I：
10.3390/math11061493
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigated the fixed-time synchronization problem of a type of reaction-diffusion fuzzy neural networks with stochastic perturbations by developing simple control schemes. First, some generalized fixed-time stability results are introduced for stochastic nonlinear systems. Based on these results, some generic fixed-time stability criteria are established and upper bounds of settling time are directly calculated by using several special functions. Then, the fixed-time synchronization of a type of reaction-diffusion fuzzy neural networks with stochastic perturbations is analysed by designing a type of controller which is more simple and thus have a better applicability. Finally, one numerical example with its Matlab simulations is provided to show the feasibility of developed theoretical results.
引用
收藏
页数：15
相关论文
共 50 条
  • [31] Adaptive Exponential Synchronization of Stochastic Delay Neural Networks with Reaction-Diffusion
    Zhao, Birong
    Deng, Feiqi
    ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 550 - +
  • [32] Finite/Fixed-Time Anti-Synchronization of Inconsistent Markovian Quaternion-Valued Memristive Neural Networks With Reaction-Diffusion Terms
    Song, Xiaona
    Man, Jingtao
    Song, Shuai
    Ahn, Choon Ki
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2021, 68 (01) : 363 - 375
  • [33] FIXED-TIME SYNCHRONIZATION OF A REACTION-DIFFUSION BAM NEURAL NETWORK WITH DISTRIBUTED DELAY AND ITS APPLICATION TO IMAGE ENCRYPTION
    Lin, Jiazhe
    Zhou, Ling
    Zhou, Zhu
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (04): : 1869 - 1892
  • [34] The stochastic fixed-time synchronization of delays neural networks driven by Levy noise
    Li, Chao
    Xu, Xiaofeng
    Liu, Ming
    SYSTEMS & CONTROL LETTERS, 2024, 190
  • [35] Fixed-time synchronization for two-dimensional coupled reaction-diffusion complex networks: Boundary conditions analysis
    Wang, Yishu
    Lu, Jianquan
    Huang, Tingwen
    Cao, Jinde
    Zhong, Jie
    CHAOS, 2024, 34 (04)
  • [36] Fixed-time synchronization of Markovian jump fuzzy cellular neural networks with stochastic disturbance and time-varying delays
    Cui, Wenxia
    Wang, Zhenjie
    Jin, Wenbin
    Cui, Wenxia (cuiwx423@163.com), 1600, Elsevier B.V. (411): : 68 - 84
  • [37] Fixed-time synchronization of Markovian jump fuzzy cellular neural networks with stochastic disturbance and time-varying delays
    Cui, Wenxia
    Wang, Zhenjie
    Jin, Wenbin
    FUZZY SETS AND SYSTEMS, 2021, 411 : 68 - 84
  • [38] Adaptive control design for fixed-time synchronization of fuzzy stochastic cellular neural networks with discrete and distributed delay
    Liu, Y.
    Liu, M.
    Xu, X.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2021, 18 (06): : 13 - 28
  • [39] Synchronization of Stochastic Competitive Neural Networks with Different Timescales and Reaction-Diffusion Terms
    Shi, Yanchao
    Zhu, Peiyong
    NEURAL COMPUTATION, 2014, 26 (09) : 2005 - 2024
  • [40] Pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms
    Wu, Xiang
    Liu, Shutang
    Wang, Huiyu
    NEURAL NETWORKS, 2023, 157 : 1 - 10
12345