互联网拥塞控制时滞对偶改进模型及其分岔与非线性稳定性研究  

Research on Bifurcation and Nonlinear Stability of an Improved Time-Delayed Dual Model in Internet Congestion Control

作　　者：刘玉良[1,2] 朱杰[2] 

机构地区：[1]浙江海洋学院机电工程学院,浙江舟山316004 [2]上海交通大学电子信息与电气工程学院,上海200240

出　　处：《上海交通大学学报》2010年第7期916-920,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(70571017);浙江省自然科学基金资助项目(Y1080661)

摘　　要：基于霍普夫分岔理论,从增强稳定性的角度出发,提出了一种时滞对偶拥塞控制的改进模型.以通信时滞为分岔参数,研究了改进模型的分岔条件、分岔方向以及分岔周期解的稳定性等动力学特征,揭示了通信时滞影响系统稳定性的物理机制.研究表明,时滞对偶改进模型的非线性稳定性可以定量描述;改进模型能对模型的稳定性进行定量描述,为设计时滞对偶拥塞控制新协议或新算法提供了必要的理论依据.Based on Hopf bifurcation theory,an improved time-delayed dual model was proposed in Internet congestion control in order to make the stable domain enlarged.The modified model＇s dynamic characteristics such as bifurcation condition,bifurcation direction and bifurcation periodic solution are all derived as the communication delay changes.The study shows that the novel model＇s nonlinear stability can be described mathematically by three expressions.This paper＇s creativity lies in the model＇s improvement and its stability＇s quantitative description,and it gives the necessary theoretical foundation on designing effective Internet congestion control protocols or algorithms.

关 键 词：霍普夫分岔 非线性稳定性 摄动法 时滞对偶 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]