Hopf Bifurcation in a Fluid-Flow Model of Congestion Control in Wireless Networks with State Feedback Control
Zhou Yun-lon · Jisuan wuli · 2015
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.