Hopf bifurcation analysis in a fluid flow model of Internet congestion control algorithm

2009 ◽  
Vol 10 (2) ◽  
pp. 824-839 ◽  
Author(s):  
Dawei Ding ◽  
Jie Zhu ◽  
Xiaoshu Luo
2009 ◽  
Vol 19 (04) ◽  
pp. 1415-1424 ◽  
Author(s):  
DAWEI DING ◽  
JIE ZHU ◽  
XIAOSHU LUO ◽  
YULIANG LIU

In this paper, a time-delayed feedback controller is applied to a fluid flow model of Internet congestion control system in order to control Hopf bifurcation. It has been shown that the system without control loses stability and a Hopf bifurcation occurs when the bifurcation parameter, which is the communication delay of the model, passes through a critical value. Therefore, a control approach based on delayed feedback is proposed to postpone the onset of undesired Hopf bifurcation. Theoretical analysis and numerical simulations confirm that the controller is efficient in bifurcation control of the Internet congestion control system.


2014 ◽  
Vol 556-562 ◽  
pp. 2285-2288 ◽  
Author(s):  
Cun Wu Han ◽  
De Hui Sun ◽  
Lei Liu

Existing Internet congestion control algorithms did not consider time-varying uncertainties. This paper presents a new congestion control algorithm based on adaptive technique and robust H∞ approach, which can effectively compensate for the time-varying uncertainties. Simulation result shows that the proposed algorithm has good performance.


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