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针对定常解析非线性系统进行能控性分析，采用微分方程级数解法得到状态方程的一般级数解，用作能控性分析的基本依据。用广义隐函数存在性定理为工具，结合定常解析非线性系统结构特征，分析了定理充要条件的物理意义，该充要条件与能控态点集的特征。进而得到弱能控的充要条件和能控的必要条件。对称性分析中，取得了状态转移局部对称性的充要条件。给出了能控性分析算例，表明对定常解析非线性系统能控性分析是方便有效的。
In order to analyze the controllability of the nonlinear system with steady analysis, the general series solution of the state equation is obtained by using the differential equation series solution, which is used as the basic basis of the controllability analysis. With the existence theorem of generalized implicit functions as a tool, the physical meaning of the necessary and sufficient conditions of the theorem is analyzed combining with the regular analysis of the structural characteristics of nonlinear systems. The necessary and sufficient conditions and the characteristics of the controllable point sets are analyzed. And then get the necessary and sufficient conditions for controllable weak energy and the necessary conditions for control. In symmetry analysis, the necessary and sufficient conditions for the local symmetry of state transition are obtained. An example of controllability analysis is given, which shows that it is convenient and effective to analyze the controllability of nonlinear systems for steady analysis.