Hopf bifurcation control for a fluid flow model of internet congestion control systems via state feedback

被引：18
作者：
Xu, Wenying [1 ,2 ]
Hayat, Tasawar [3 ]
Cao, Jinde [2 ,4 ]
Xiao, Min [1 ,5 ]
机构：
[1] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[5] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210003, Jiangsu, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2016年 / 33卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hopf bifurcation; bifurcation control; internet congestion control system; state feedback controller; NEURAL-NETWORKS; STABILITY; ALGORITHM; REM;
D O I：
10.1093/imamci/dnu029
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 discusses a problem of Hopf bifurcation control for a fluid flow model of Internet congestion control systems by using a state feedback controller. The communication delay is chosen as the bifurcation parameter and it is shown that the Hopf bifurcation occurs and the uncontrolled system loses the stability when the bifurcation parameter passes through a critical value. However, under the state feedback control, the onset of the Hopf bifurcation is successfully delayed so that the stability domain can be extended. Moreover, the property of the bifurcating periodic solutions can be determined by adjusting the parameters of the linear part and non-linear part of the controller. Furthermore, we further investigate the effect of parameters of the system on the onset of the Hopf bifurcation as well. Both the theoretical analysis and the numerical simulation testify the validity of the state feedback controller in controlling Hopf bifurcations.
引用
收藏
页码：69 / 93
页数：25
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