Parameter gamma Conditions for Stability of FAST TCP

Wei Jie Liang, Shunyi Zhang, Xiangyan Ning, Yanfei Sun, Jinyi Chang · 2009

The stability of FAST TCP in a single-link single-source is studied in this paper. A continuous time fluid flow model of the link buffer is considered to build a linear control system model related to fast TCP. Linearing the fluid flow model and window control model, Laplace transform version of the equations are presented. It results in a negative feedback system with open loop transfer function. With the analysis of Nyquist curve of the system, a sufficient condition on asymptotical stability of fast TCP congestion window related to the parameter gamma is obtained. Packet level NS2 simulations are used to verify the theoretical claims.

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