Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks
Stability and bifurcation analysis of Westwood+ TCP congestion control model in mobile cloud computing networks
复制标题
DOI：
10.15388/na.2016.4.4
复制
发表时间：
2016-07
期刊：
影响因子：
--
通讯作者：
Hongyang Yu;Songtao Guo;Fei Wang
中科院分区：
文献类型：
--
作者：
Hongyang Yu;Songtao Guo;Fei Wang
在本文中，我们首先在移动云计算网络中建立了一个具有通信延迟的Westwood + TCP拥塞控制模型。然后，我们通过分析其特征方程特征值的分布范围来研究该模型的动力学。将通信延迟作为分岔参数，我们推导出了取决于通信延迟的线性稳定性准则。此外，我们研究了具有通信延迟的Westwood + TCP拥塞控制模型的Hopf分岔方向以及周期解的稳定性。我们发现当通信延迟经过一系列临界值时会发生Hopf分岔。Hopf分岔的稳定性和方向由规范型理论和中心流形定理确定。最后，进行了数值模拟以验证理论结果。
In this paper, we first build up a Westwood+ TCP congestion control model with communication delay in mobile cloud computing networks. We then study the dynamics of this model by analyzing the distribution ranges of eigenvalues of its characteristic equation. Taking communication delay as the bifurcation parameter, we derive the linear stability criteria depending on communication delay. Furthermore, we study the direction of Hopf bifurcation as well as the stability of periodic solution for the Westwood+ TCP congestion control model with communication delay. We find that the Hopf bifurcation occurs when the communication delay passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by the normal form theory and the center manifold theorem. Finally, numerical simulation is done to verify the theoretical results.