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本文讨论控制系统反馈空间的拓扑结构．首先讨论线性情况．然后，将其结果推广到非线性的情况．赋予线性反馈集合以Ｒｎ×ｍ拓扑（其中ｎ为状态空间维数，ｍ为输入维数），在这个拓扑下研究完全能控系统稳定反馈集合的几何结构．文中证明了稳定反馈集合的拓扑结构与具体系统无关．并且，对较小维数的系统（ｎ≤５）给出了具体的拓扑结构．
This article discusses the topological structure of control system feedback space. First, discuss the linear situation. Then, the result is generalized to the non-linear case. Given the Rn × m topology (where n is the state space dimension and m is the input dimension), a set of linear feedbacks is given. Under this topology, we study the geometry of a fully controllable system stable feedback set. The paper proves that the topology of stable feedback set has nothing to do with the specific system. And, for the smaller dimension of the system (n ≤ 5) given the specific topology.