Study on stability of network congestion control with communication delay

Stability is a crucial issue for transport protocols.A lot of works study how to tune the parameters of congestion control algorithms to keep the stability of networks.The mechanisms of Internet congestion control are understood as primaldual algorithms which try to maximize the utility of Internet.The local stability of general primal-dual algorithms is studied in the presence of general network topology and arbitrary delay.The analysis is based on the frequency response functions of the system and the model of general primal-dual algorithms.Congestion control algorithms are presented according to different stable conditions.The effectiveness of the stability criteria is validated by simulation results.