Hopf Bifurcation Controller Design for Wireless Access Network Congestion Control System

Abstract

A novel Hopf bifurcation controller used in wireless access network congestion control system is proposed in this paper. Communication delay is selected as the bifurcation parameter. The conditions of the existence for the Hopf bifurcation are obtained by analyzing the associated characteristic equation. The delay feedback controller is designed to control the Hopf bifurcation for the wireless access network congestion control system. By using the center manifold theorem and the normal form theory, the direction and stability of bifurcating periodic solutions are confirmed. The simulations verify the controller can delay the onset of the Hopf bifurcation and achieve some desirable dynamical behaviors.