title: Hopf bifurcation control in a congestion control model via dynamic delayed feedback.
abstract: A typical objective of bifurcation control is to delay the onset of undesirable bifurcation. In this paper, the problem of Hopf bifurcation control in a second-order congestion control model is considered. In particular, a suitable Hopf bifurcation is created at a desired location with preferred properties and a dynamic delayed feedback controller is developed for the creation of the Hopf bifurcation. With this controller, one can increase the critical value of the communication delay, and thus guarantee a stationary data sending rate for larger delay. Furthermore, explicit formulae to determine the period and the direction of periodic solutions bifurcating from the equilibrium are obtained by applying perturbation approach. Finally, numerical simulation results are presented to show that the dynamic delayed feedback controller is efficient in controlling Hopf bifurcation.
authors.affiliation: College of Computer Science, Chongqing University, Chongqing 400044, People's Republic of China.
authors.forename: Songtao
authors.initials: S
authors.lastname: Guo
authors.forename: Gang
authors.initials: G
authors.lastname: Feng
authors.forename: Xiaofeng
authors.initials: X
authors.lastname: Liao
authors.forename: Qun
authors.initials: Q
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D003195:Computer Communication Networks; D003198:Computer Simulation; D005246:Feedback; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted