摘要
TCP/IP网络中有一些路由选择和流量控制方法只能保证系统局部最优。本文引入现代控制理论,提出通过对TCP/IP数据通信网非线性状态控制模型进行线性近似,并借助李亚普诺夫原理的途径判断数据通信网整体稳定性的方法;在稳定性的基础上,证明了数据网最优控制可以具有路由最短和路由不形成环路等性质。
In TCP/IP networks, some routing decision and flow control algorithms can guarantee only partitioned optimazation of networks. In this paper, we use modern control theory to develop a new method to judge the entire stability of date communication networks, based on the Lyapunov principle and approximation of linearized network state control model, which is a nonlinear one in the nature. Forthmore, the conclusions of TCP/IP network optimization are comformed, such as: the shortest path is available as well as the optimal routing will never form routing link loop and so on.
基金
国家自然科学基金(69602004)