Synchronization of Fractional Order Fuzzy BAM Neural Networks With Time Varying Delays and Reaction Diffusion Terms

被引:28
|
作者
Ali, M. Syedy [1 ]
Hymavathi, M. [1 ]
Rajchakit, Grienggrai [2 ]
Saroha, Sumit [3 ]
Palanisamy, L. [1 ]
Hammachukiattikul, Porpattama [4 ]
机构
[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
[2] Maejo Univ, Dept Math, Fac Sci, Chiang Mai 50290, Thailand
[3] Guru Jambheshwar Univ Sci & Technol, Dept Printing Technol Elect Engn, Hisar 125011, Haryana, India
[4] Phuket Rajabhat Univ PKRU, Dept Math, Fac Sci, Phuket 83000, Thailand
关键词
Delays; Asymptotic stability; Stability analysis; Biological neural networks; Mathematics; Delay effects; Synchronization; time varying delays; reaction diffusion; STABILITY; CALCULUS; SYSTEMS;
D O I
10.1109/ACCESS.2020.3029145
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this article synchronization of fractional order fuzzy BAM neural networks with time varying delays and reaction diffusion terms is studied. The time varying delays consist of discrete delays and distributed delays are considered. Then, some sufficient conditions black are presented to guarantee the global asymptotic stability of the error system by using Lyapunov-Krasovskii functional having the double integral terms, we utilized Jensens inequality techniques and LMI approach. Accordingly, we accomplished synchronization of master-slave fuzzy BAMNNs. The delay dependent stability conditions are set up in terms of linear matrix inequalities(LMIs), which can be productively understood utilizing Matlab LMI control tool box. At last, illustrative numerical results have been provided to verify the correctness and effectiveness of the obtained results.
引用
收藏
页码:186551 / 186571
页数:21
相关论文
共 50 条
  • [31] Stability analysis of impulsive BAM fuzzy cellular neural networks with distributed delays and reaction-diffusion terms
    Zhang, Xinhua
    Li, Kelin
    World Academy of Science, Engineering and Technology, 2010, 67 : 393 - 403
  • [32] Robust Stability Analysis for Fuzzy BAM Neural Networks with Time Varying Delays
    Liu, Bin
    Guang, Xu
    Qian, Xu
    FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2008, : 411 - +
  • [33] Global exponential stability of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays
    Zhang, Zhengqiu
    Yang, Yan
    Huang, Yesheng
    NEURAL NETWORKS, 2011, 24 (05) : 457 - 465
  • [34] Synchronization analysis of coupled fractional-order neural networks with time-varying delays
    Li, Biwen
    Cheng, Xuan
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (08) : 14846 - 14865
  • [35] Passivity Analysis of Fractional-Order Neutral-Type Fuzzy Cellular BAM Neural Networks with Time-Varying Delays
    Ali, M. Syed
    Hymavathi, M.
    Alsulami, Hamed
    Saeed, Tareq
    Ahmad, Bashir
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [36] Synchronization analysis of fractional-order three-neuron BAM neural networks with multiple time delays
    Zhang, Jianmei
    Wu, Jianwei
    Bao, Haibo
    Cao, Jinde
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 441 - 450
  • [37] Complete synchronization of discrete-time fractional-order BAM neural networks with leakage and discrete delays
    Liu, Jianfei
    Li, Hong-Li
    Hu, Cheng
    Jiang, Haijun
    Cao, Jinde
    NEURAL NETWORKS, 2024, 180
  • [38] Finite-Time Synchronization for Stochastic Fractional-Order Memristive BAM Neural Networks with Multiple Delays
    Chen, Lili
    Gong, Minghao
    Zhao, Yanfeng
    Liu, Xin
    FRACTAL AND FRACTIONAL, 2023, 7 (09)
  • [39] Stability Analysis of Stochastic Fuzzy Cellular Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms
    Qintao Gan
    Rui Xu
    Pinghua Yang
    Neural Processing Letters, 2010, 32 : 45 - 57
  • [40] Stability Analysis of Stochastic Fuzzy Cellular Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms
    Gan, Qintao
    Xu, Rui
    Yang, Pinghua
    NEURAL PROCESSING LETTERS, 2010, 32 (01) : 45 - 57