The mechanisms of Transmission Control Protocol congestion control are understood as primal-dual algorithms which try to maximize the utility of Internet. This means optimization theory and control theory should be both considered for transmission control protocol design. In this paper, we use control theory to study the local stability of general primal-dual algorithms which in the presence of general network topology and arbitrary delay. The analysis result is based on the frequency response functions of the system and the model of general primal-dual algorithms. Furthermore, we extend the t...
