Stability and Hopf bifurcation analysis of TCP with a RED-like queue management policy
作者单位：India-UK Advanced Technology Centre of Excellence in Next Generation Networks Department of Electrical EngineeringIndian Institute of Technology Madras
会议名称：《第26届中国控制与决策会议》
会议日期：2014年
学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081201[工学-计算机系统结构] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：carried out under the IU-ATC project funded by the Department of Science and Technology(DST)Government of India the UK EPSRC Digital Economy Programme
关 键 词：TCP queue management congestion control stability Hopf bifurcation.
摘 要：We analyse a non-linear fluid model of TCP coupled with a Random Early Detection（RED）-like queue management policy. We first show that the conditions for local stability, as parameters vary, will be violated via a Hopf bifurcation. Thus, a stable equilibrium would give rise to limit cycles. To identify the type of the Hopf bifurcation, and to determine the stability of the bifurcating limit cycles, we apply the theory of normal forms and the center manifold analysis. Some numerical computations accompany our theoretical work.