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Synchronization analysis of fractional-order three-neuron BAM neural networks with multiple time delays

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  • Zhang, Jianmei
  • Wu, Jianwei
  • Bao, Haibo
  • Cao, Jinde

Abstract

In this paper, we are concerned with the master-slave synchronization problem of fractional-order three-neuron bidirectional associative memory (BAM) neural networks with multiple time delays. The linear feedback controller is designed to ensure the global synchronization of the master-slave systems. Based on the Lyapunov functionals and fractional-order comparison theory, the corresponding synchronization conditions are derived. In the end, an example is given to further demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Zhang, Jianmei & Wu, Jianwei & Bao, Haibo & Cao, Jinde, 2018. "Synchronization analysis of fractional-order three-neuron BAM neural networks with multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 441-450.
    • Handle: RePEc:eee:apmaco:v:339:y:2018:i:c:p:441-450
    DOI: 10.1016/j.amc.2018.06.013
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    References listed on IDEAS

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    Cited by:

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    7. Zhang, Weiwei & Zhang, Hai & Cao, Jinde & Zhang, Hongmei & Chen, Dingyuan, 2020. "Synchronization of delayed fractional-order complex-valued neural networks with leakage delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    8. Beibei Guo & Yu Xiao, 2023. "Synchronization of Markov Switching Inertial Neural Networks with Mixed Delays under Aperiodically On-Off Adaptive Control," Mathematics, MDPI, vol. 11(13), pages 1-15, June.
    9. Li, Hui & Kao, YongGui & Stamova, Ivanka & Shao, Chuntao, 2021. "Global asymptotic stability and S-asymptotic ω-periodicity of impulsive non-autonomous fractional-order neural networks," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    10. Zhen Yang & Zhengqiu Zhang, 2022. "Finite-Time Synchronization Analysis for BAM Neural Networks with Time-Varying Delays by Applying the Maximum-Value Approach with New Inequalities," Mathematics, MDPI, vol. 10(5), pages 1-16, March.

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