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本文提出了计算机通信网动态路由的稳定性问题，将现代控制理论引人到计算机通信网理论领域，从系统控制的角度建立了多业务流多链路网络系统信息包从源节点到目的节点传输的全过程和网络节点分流的状态空间模型，从不同的侧面描述、考察了路由选择的随机动态特性；在此基础上，应用李亚普诺夫系统稳定的方法，提出了多个传输链路的利用率函数Ｇ（·）和节点分流矩阵Ｒｄ的稳定性限制与条件，最后给出了一个例子和结论。
In this paper, we propose the stability of dynamic routing in computer communication network. Introducing modern control theory into the field of computer communication network theory, from the perspective of system control, the multi-service flow multi-link network system information packet is transmitted from the source node to the destination node And the state space model of network node shunting are described from different sides and the random dynamic characteristics of routing are investigated. Based on this, a stable method of Lyapunov system is proposed, and the use of multiple transmission links The stability limit and condition of rate function G (·) and node shunt matrix Rd are given. Finally, an example and conclusion are given.