Hopf Bifurcation in a Dual Model of Internet Congestion Control System Using Dynamic Delayed Feedback

1969 ◽  
Vol 9 (11) ◽  
Author(s):  
Yunlong Zhou ◽  
Chao Xu
Keyword(s):  
Control System ◽  
Hopf Bifurcation ◽  
Congestion Control ◽  
Delayed Feedback ◽  
Dual Model ◽  
Internet Congestion Control ◽  
Internet Congestion

CONTROLLING HOPF BIFURCATION IN FLUID FLOW MODEL OF INTERNET CONGESTION CONTROL SYSTEM

2009 ◽  
Vol 19 (04) ◽  
pp. 1415-1424 ◽  
Author(s):  
DAWEI DING ◽  
JIE ZHU ◽  
XIAOSHU LUO ◽  
YULIANG LIU
Keyword(s):  
Fluid Flow ◽  
Control System ◽  
Hopf Bifurcation ◽  
Congestion Control ◽  
Flow Model ◽  
Delayed Feedback ◽  
Control Approach ◽  
Internet Congestion Control ◽  
Delayed Feedback Controller ◽  
Internet Congestion

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.

Hybrid control of Hopf bifurcation in a dual model of Internet congestion control system

2013 ◽  
Vol 76 (2) ◽  
pp. 1041-1050 ◽  
Author(s):  
Da-Wei Ding ◽  
Xue-Mei Qin ◽  
Nian Wang ◽  
Ting-Ting Wu ◽  
Dong Liang
Keyword(s):  
Control System ◽  
Hopf Bifurcation ◽  
Congestion Control ◽  
Hybrid Control ◽  
Dual Model ◽  
Internet Congestion Control ◽  
Internet Congestion

ANALYSIS OF HOPF BIFURCATION FOR AN INTERNET CONGESTION CONTROL SYSTEM

2007 ◽  
Vol 40 (12) ◽  
pp. 639-644 ◽  
Author(s):  
Mohammad Reza ◽  
Jahed Motlagh ◽  
Behrooz Rezaie ◽  
Siavash Khorsandi ◽  
Morteza Analoui
Keyword(s):  
Control System ◽  
Hopf Bifurcation ◽  
Congestion Control ◽  
Internet Congestion Control ◽  
Internet Congestion
Sign in / Sign up

Export Citation Format

Share Document