Abstract: Controlling Hopf bifurcation in a fluid-flow model for congestion control in wireless networks, we propose a state feedback controller. Choosing communication delay as a bifurcation parameter, we proved that with the controller, one can change critical value of bifurcation and enlarge stable region. Hopf bifurcation of the system is delayed. Moreover, by choosing appropriate parameters, we change easily stability and direction of bifurcating periodic solutions. Theoretical analysis and numerical results verifies that the method controls Hopf bifurcation effectively.

Key words: wireless networks, congestion control, Hopf bifurcation, state feedback controller