Stability of hop-by-hop congestion control

A hop-by-hop congestion control method is developed. Unlike other hop-by-hop schemes, this method does not require the router to keep track of per-virtual circuit information. Hence, this method puts little computational burden on the router. The method is hop-by-hop based, hence, it allows the flows to quickly adjust to changes in the available bandwidth. The network is modeled as a linear parametrically varying (LPV) system. However, standard LPV techniques prove too conservative and alternative methods are applied. It is shown that for certain feedback gains, the system is exponentially stable