Understanding stability of rate control schemes on dynamic communication networks

Questions of rate control on dynamic networks have been open due to lack of rigorous tools in applied Mathematics regarding dynamic networks. Recent developments in theoretical modeling of dynamic networks pave the way for new insights in better understanding of rate control on dynamic networks in general and processes on dynamic networks in particular. Making further progress on our earlier work of modeling framework for a spatio-temporal process, we explore the issue the of stability of such processes using Lyapunov theory. We formulate Lyapunov functions for rate control scheme and provide new insights about long term stability of these processes as they evolve in a very natural setting for packet transfer over communication networks. We present fresh simulation and analytical results to demonstrate the impact of topological changes in communication network and quantify the performance metric in the presence of dynamic transformations. Such scenarios arise natural in swarming, moving vehicles convoys, troop movements, UAV formations and in the community of fast moving receivers and senders during man-made or natural gatherings and disasters.