Delayed feedback-based bifurcation control in an Internet congestion model

被引：38

作者：

Xiao, Min ^{[1
]}

Cao, Jinde

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Nanjing Xiaozhuang Coll, Dept Math, Nanjing 210017, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 02期

基金：

中国国家自然科学基金;

关键词：

internet congestion model; delayed feedback; Hopf bifurcation; bifurcation control;

D O I：

10.1016/j.jmaa.2006.10.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the control of Hopf bifurcation in an Internet congestion model with a single link accessed by a single source is presented. By choosing the gain parameter as a bifurcation parameter, it is found that the system without control cannot guarantee a stationary sending rate. Furthermore, Hopf bifurcation occurs when the positive gain parameter of the system exceeds a critical value. For Internet congestion model, a control model based on delayed feedback is proposed and analyzed for delaying the onset of undesirable Hopf bifurcation. Numerical simulations are given to justify the validity of delayed feedback controller in bifurcation control. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1010 / 1027

页数：18

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