Global stability analysis about a congestion control scheme for networks with time delay
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CitationJing, Y., Yang, M., Dimirovski, G. M., Ren, T., & Zheng, Y. (2007). Global stability analysis about a congestion control scheme for networks with time delay. In 2007 American Control Conference (pp. 2399-2404). Piscataway, NJ: IEEE. https://dx.doi.org/10.1109/ACC.2007.4282451
In this paper, a congestion control scheme is developed, analyzed and implemented in a noncooperative game framework. By using a network model based on fluid approximations and through a realistic modeling of queues, the existence of a unique equilibrium is established as well as its global asymptotic stability for a general network topology, where boundary effects are also taken into account. The sufficient conditions are also provided for system stability when there is a bottleneck link shared by multiple users experiencing non-negligible communication delays. The theoretic results are meaningful for communication networks.