Analysis on Dynamics of Congestion Control Algorithm

A class of end-to-end rate-based TCP-like congestion control algorithms with communication delays is studied. A critical value of the delay to ensure the stability of Internet is presented by analyzing the characteristic equation of the congestion control algorithm. By applying the center manifold theorem and the normal form theory, the dynamics of the algorithm is discussed around the critical delay value. Finally, a numerical simulation is used to verify the theoretical results. These conclusions show the effect of communication delay on the quality of service (QoS) of Internet.