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本文基于系统平衡结构,讨论了非线性强耦合动态系统的分解分析法,得到了一个基本定理。由这个定理可以推出结论:系统结构的静态信息能提供一些动态信息,例如稳定性,对某些类型的非线性系统,用本文的基本定理很容易推出其稳定的充分条件,本文还举出三个例子来说明本定理的有效性。
In this paper, based on the system equilibrium structure, the decomposition analytical method of nonlinear strongly coupled dynamic system is discussed, and a basic theorem is obtained. From this theorem, we can conclude that the static information of system structure can provide some dynamic information, such as stability. For some types of nonlinear systems, the basic theorem of this paper can easily derive its stable sufficient conditions. In this paper, three An example to illustrate the validity of this theorem.