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Stability of Stochastic Networks with Proportional Delays and the Unsupervised Hebbian-Type Learning Algorithm

Author

Listed:
  • Famei Zheng

    (School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China)

  • Xiaojing Wang

    (School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China)

  • Xiwang Cheng

    (School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China)

Abstract

The stability problem of stochastic networks with proportional delays and unsupervised Hebbian-type learning algorithms is studied. Applying the Lyapunov functional method, a stochastic analysis technique and the It o ^ formula, we obtain some sufficient conditions for global asymptotic stability. We also discuss the estimation of the second moment. The correctness of the main results is verified by two numerical examples.

Suggested Citation

  • Famei Zheng & Xiaojing Wang & Xiwang Cheng, 2023. "Stability of Stochastic Networks with Proportional Delays and the Unsupervised Hebbian-Type Learning Algorithm," Mathematics, MDPI, vol. 11(23), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4755-:d:1287247
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    References listed on IDEAS

    as
    1. Juan Chen & Zhenkun Huang & Jinxiang Cai, 2015. "Global Exponential Stability of Learning-Based Fuzzy Networks on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-15, January.
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