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arXiv 0906.4834cs.NIcs.PF
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具有时变链路容量的Internet拥塞控制模型的全局稳定性分析

Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity

B. Rezaie, MR. Jahed Motlagh, M. Analoui, S. Khorsandi

摘要:

本文对一个由非线性时滞微分方程建模的基于速率的拥塞控制系统进行了全局稳定性分析。该模型确定了一个单源单链路网络的动态特性,具有时变的链路容量和固定的通信延迟。得到了系统参数与时滞无关的充分条件,在此条件下系统全局渐近稳定。证明基于一类非线性时滞系统的Lyapunov-Krasovskii定理的推广。对一个典型场景的数值模拟验证了理论结果。

英文摘要:

In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a time-varying capacity of link and a fixed communication delay. We obtain a sufficient delay-independent conditions on system parameters under which global asymptotic stability of the system is guarantied. The proof is based on an extension of Lyapunov-Krasovskii theorem for a class of nonlinear time-delay systems. The numerical simulations for a typical scenario justify the theoretical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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