Description: 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.
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