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

Famei Zheng (), Xiaojing Wang and Xiwang Cheng
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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

Mathematics, 2023, vol. 11, issue 23, 1-13

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.

Keywords: second-order networks; stochastic; Hebbian type; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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