Congestion control for the Internet: Modeling and Analysis
Summary
We consider a fluid flow model of network behavior to investigate how congestion control can achieve efficient use of network resources. The aim of the project is to find criteria for local stability for simple resource-user networks in the presence of communication delays. Both a continuous model and a discrete model are discussed. In order to determine the stability of a more complex continuous model, we make use of the direct method of Lyapunov-Kraskovski.