Stability of ABR congestion control using the theory of delayed differential equations
Omar Ait‐Hellal, E. Altman · International Journal of Systems Science · 2003
The stabilities of the Fixed Point, ERAQLES and ERICA+ ABR congestion control algorithms were investigated. By using the stability theory of delayed differential equations, the stability conditions for each algorithm are obtained and examples where these algorithms are not stable (the stability definition is given below) are given. Parameters are proposed for which ERICA+ is always stable. It is shown that for a range of control parameters, neither the Fixed Point nor ERAQLES algorithms are stable, whatever the parameters are (round trip times, etc.).