文中证明了如果广义对称系统在一点的邻域可控，那么系统在包含该点群作用轨道的一个开集上是可控的。
It is shown that if a generalized symmetric system is controllable on a neighborhood of a point, then the system is controllable on some open set which includes the group action-orbit at the point.
在点集拓扑理论中，开集、域等是最基本的概念。
In point set topological theory, open set and neighborhood are the basic concept.
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