Delayed feedback-based bifurcation control in an Internet congestion model

作者：Xiao Min^*; Cao Jinde

来源：Journal of Mathematical Analysis and Applications, 2007, 332(2): 1010-1027.

DOI：10.1016/j.jmaa.2006.10.062

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

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.

• 出版日期2007-8-15
• 单位南京晓庄学院; 东南大学