The effect of delay feedback control on dynamics of a stochastic Internet congestion control model

被引：2

作者：

Yang, Yanling ^{[1
]}

Hu, Zhouyu ^{[1
]}

Zhang, Congqing ^{[1
]}

Wang, Qiubao ^{[1
]}

机构：

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2023年 / 181卷

关键词：

Stochastic bifurcation; Center manifold theory; Stochastic averaging method; Delay; Internet congestion control model; EXPONENTIAL RED ALGORITHM; GLOBAL STABILITY ANALYSIS; HOPF-BIFURCATION; CONTROL-SYSTEM; PERIODIC-SOLUTIONS; DUAL MODEL; CONSENSUS; NETWORKS;

D O I：

10.1016/j.sysconle.2023.105644

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates a stochastic Internet congestion control model with distributed and constant delays driven by Gaussian white noise. We study the stochastic dynamics of the system at different delay feedback intensities. Firstly, by using center manifold theory and the stochastic averaging method, the system is reduced to the average Ito equation. Secondly, the stochastic bifurcation behavior of the system is investigated by using the Fokker-Planck-Kolmogorov equation corresponding to the average Ito equation. It is found that the stochastic P(D)-bifurcation occurs when the delay feedback intensity reaches the critical value. Finally, numerical simulations are given to validate the effectiveness of the theoretical analysis.

引用

页数：7

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