数据通信网络的稳定性与优化控制

Stability Conditions and Optimization Control in Data Communication Networks

本文引入现代控制理论，建立了数据通信网络过渡过程状态控制模型与性能目标模型；根据李亚普诺夫原理，并对数据通信网络非线性过渡过程状态模型进行线性近似变换，提出了判断数据通信网络稳定性的方法；在稳定性数据通信网络环境中，证明了数据通信网络最优控制可以具有路径最短和路由不形成环路等性质．

Introducing modern coneal theory, we present the netWOrk dynamic eqUations tO describe thenetwork states in nonsational'y environment in data communication netWorks with the objective of minimax the total network delay that is given by the packets waiting in all node bibers and ones are Processing in all networknodes. Based on the I'yapunov principle, we develop a new method tO test stability Of routing decision in datanetworks after the network nonlinear state control models are approximate lineallzed by numetical method. In thestationary network environment we cochrm the conclusions of netWork optimization control such as we can getshortest commllnication path that is defined as function of link delay,and optimal routing will never form a routing link ring and so on.