On the use of sos methods for analysis of connection-level stability in the internet
Ashvin Lakshmikantha, Carolyn L. Beck, R. Srikant · 2005
We study connection-level models of file transfer requests in the Internet, where connection arrivals to each route occur according to Poisson processes and the file-sizes have phase-type distributions. We investigate the use of the sum-of-squares technique to construct Lyapunov functions that satisfy Foster's condition for stochastic stability.