Linear Time-Delay System Model and Stability of AQM Bottleneck Networks

摘要：

Active Queue Manage networks belong to nonlinear large scale systems.There are many uncertain factors such access number of subscribers,traffic types,link capacities and round trip time,impact on the networksbehaviors.However,the existing nonlinear fluid models for AQM networks have not considered the hybrid traffic flows: TCP/UDP ones,they only are valid for TCP traffic flows.This paper establishes a general linear time-delay model for the bottleneck networks with TCP/UDP AQM,considering the uncertainty of access number of subscribers,traffic types,link capacities and round trip time.The proposed time-delay system model is derived from linearization processing for fluid-based model at equilibrium points.Resort to the time-delay system model,the stability analysis of the AQM networks with uncertainty can be analyzed in 2-D s-z domain.At equilibrium points,the bottleneck networks are described by uncertain linear time-delay systems,then 2-D (two-dimensional) Laplace-z transform has been applied for the stability test of the network.The stability implies the congestion conditions of the AQM networks.Simulations verify the stability analysis for AQM network to be valid,the AQM network approaches to full utilization without PI controller of 1-3.

关键词： network congestion control active queue management stability analysis time-delay systems quasi-polynomials random early detection (RED)

作者: Yang Xiao Kiseon Kim

作者单位: Institute of Information Science,Beijing Jiaotong University,Beijing 100044,China Dept.Of Information and Communications,Gwangju Institute of Science and Technology Gwangju 500-712,K

会议类型: 国际会议

会议名称: 9th International Conference on Signal Processing(第九届国际信号处理学术会议)(ICSP08)

会议地点: 北京

会议语种:英文

在线出版日期: 2008-10-26（万方平台首次上网日期，不代表论文的发表时间）