Stability analysis in an AVQ model of Internet congestion control algorithm

This paper focuses on the local stability of a classical congestion control model in the Internet, namely adaptive virtual queue (AVQ) algorithm with feedback delay. Firstly, necessary and sufficient stability conditions in terms of key tuning parameters are given, which can provide exact guidelines for setting system parameters. Furthermore, by computing the rightmost characteristic root, the optimal parameter configuration for AVQ is derived, which can guarantee superior stability performance. Finally, some simulation examples are given to illustrate the correctness of the theoretical analysis.