Controlling Delay-Induced Hopf Bifurcation in Internet Congestion Control System
Source: Shanghai Jiao Tong University
This paper focuses on Hopf bifurcation control in a dual model of Internet congestion control algorithms which is modeled as a Delay Differential Equation (DDE). By choosing communication delay as a bifurcation parameter, it has been demonstrated that the system loses stability and a Hopf bifurcation occurs when communication delay passes through a critical value. Therefore, a time-delayed feedback control method is applied to the system for delaying the onset of undesirable Hopf bifurcation. Theoretical analysis and numerical simulations confirm that the delayed feedback controller is efficient in controlling Hopf bifurcation in Internet congestion control system.