The Hopf Bifurcation and Control of a Time-Delayed Dual Model in Internet Congestion Control

This paper study the Hopf bifurcation of a time-delayed dual model in Internet congestion control system. A time-delayed feedback control strategy is applied to the system for postponing a set of undesirable Hopf bifurcation and increasing stability region of the system. It is indicated that the model loses stability and a Hopf bifurcation occurs when bifurcation parameter passes through a critical value. Numerical simulations shows that improved dual model can delay Hopf bifurcation effectively, and enhance the system's stability.