Suppression of oscillatory congestion via trunk link bandwidth and control gain in star network

Suppression of oscillatory congestion via trunk link bandwidth and control gain in star network
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通过星形网络中的主干链路带宽和控制增益抑制振荡拥塞

DOI:
10.1007/s10483-019-2411-9
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发表时间:
2018-12
期刊:
Applied Mathematics and Mechanics (English Edition )
影响因子:
--
通讯作者:
Xu Jian
Xu Jian
中科院分区:
其他
文献类型:
--
作者:
Wang Sainan;Zhang Shu;Xu Jian

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研究了互联网拥塞控制模型中时间延迟引起的不稳定性。考虑星型拓扑,选择链路带宽比和控制增益作为拥塞抑制的可调参数。稳定性切换边界是通过平衡附近线性化系统的特征值分析获得的。为了研究平衡变得不稳定时的振荡拥塞,使用中心流形约简和范式理论来研究延迟引起的周期性振荡。理论分析和数值模拟表明,对拥塞控制系统的稳定性至关重要的是主干链路和普通链路的带宽比,而不是这些带宽本身。目前的结果表明,增加链路带宽比来稳定系统并不总是有效的,并且对于某些特定的延迟,调整控制增益更为有效。
The time delay-induced instability in an Internet congestion control model is investigated. The star topology is considered, and the link bandwidth ratio and the control gain are selected as the tunable parameters for congestion suppression. The stability switch boundary is obtained by the eigenvalue analysis for the linearized system around the equilibrium. To investigate the oscillatory congestion when the equilibrium becomes unstable, the center manifold reduction and the normal form theory are used to study the periodic oscillation induced by the delay. The theoretical analysis and numerical simulation show that the ratio between bandwidths of the trunk link and the regular link, rather than these bandwidths themselves, is crucial for the stability of the congestion control system. The present results demonstrate that it is not always effective to increase the link bandwidth ratio for stabilizing the system, and for some certain delays, adjusting the control gain is more efficient.
使用延迟无关积分评估进行延迟相关稳定性分析
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