Analysis and design of congestion control in synchronised communication networks

We present a simplified model of a network of TCP-like sources that compete for a shared bandwidth. We show that: (i) networks of communicating devices operating AIMD congestion control algorithms may be modelled as a positive linear system; (ii) that such networks possess a unique stationary point; and (iii) that this stationary point is globally exponentially stable. Using these results we establish conditions for the fair co-existence of traffic in networks employing heterogeneous AIMD algorithms. A new protocol for operation over high-speed links is proposed and its dynamic properties discussed as a positive linear system.