一类具有三条瓶颈链路的网络系统稳定性分析

摘要

We establish the flow model of multiple bottleneck system with AIMD parameters （α,β）, and then analyze the systems stability. Sufficient conditions for the asymptotic stability of multiple bottleneck system are derived by appealing to Lyapunov stability theory. Finally we analyze and research the stability of a class of three bottleneck system.%建立了一类具有AIMD参数对（α，β）的多瓶颈链路AIMD／RED系统模型；然后基于Lyapunov稳定性理论，给出具有复杂多变时滞的多瓶颈网络系统模型渐近稳定的充分条件；并针对一类具有三条瓶颈链路的网络系统稳定性进行了分析和研究。