论文标题
用于TCP/AQM分析的二维流体模型
A two dimensional fluid model for TCP/AQM analysis
论文作者
论文摘要
这项工作为TCP/AQM系统提出了一个新的数学模型，该模型旨在提高现有流体模型的准确性，尤其是在网络中发生的顺序事件方面。该分析基于对两个底座的考虑，一个在队列路由器级别，另一个位于拥塞窗口级别，这导致了用于互联网拥塞控制的新的非线性二维流体模型。为了避免评估2D非线性动态模型的稳定性的困难任务，我们对2D线性TCP AQM模型进行局部稳定性分析。通过构建新的二维二维Bessel Legendre Lyapunov功能，得出了新的矩阵不平等，以评估0输入系统的稳定性并合成反馈控制器。最后，介绍了两个互联网流量情景，其中有用于可复制性的状态空间矩阵，证明了理论结果的有效性。
This work proposes a new mathematical model for the TCP/AQM system that aims to improve the accuracy of existing fluid models, especially with respect to the sequential events that occur in the network. The analysis is based on the consideration of two time bases, one at the queue's router level and the other at the congestion window level, which leads to the derivation of a new nonlinear two-dimensional fluid model for Internet congestion control. To avoid the difficult task of assessing stability of a 2D nonlinear dynamic model, we perform a local stability analysis of a 2D linear TCP AQM model. By constructing a new two dimensional second order Bessel Legendre Lyapunov functional, new matrix inequalities are derived to evaluate the stability of the 0-input system and to synthesize a feedback controller. Finally, two Internet traffic scenarios, with state space matrices for replicability, are presented, demonstrating the validity of the theoretical results.
