Abstract: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 entir stability of date communication networks, based on the Lyapnovn Priciple and approxmation of linearized network state control model, which is a nonlinear one in the nature. Forthmore, we confirm the conclusions of TCP/IP network optimazation such as: the shotest path is available as well as the optimal routing will never from routing link loop and so on.