Sector conditions for the global stability of high-speed communication networks

This paper considers the design of TCP-like congestion control protocols for deployment in high-speed communication networks. A basic problem in this area is to design congestion control strategies that probe more aggressively than standard TCP, but which co-exist with each other and result in globally stable and equitable network behaviour. Under the assumption of player synchronisation, conditions for global network stability are derived in the form of growth conditions on the local nonlinear probing functions.