In this paper, we investigate the asymptotical feedback controllability (AFC) of probabilistic logic control networks (PLCNs). First, the concept of asymptotical feedback reachability (AFR) is proposed, allowing us to define AFC. Then, we prove that a state is asymptotically feedback reachable if and only if (iff) it is a control fixed point, and there is an admissible path to it from any other state. Based on this, we prove that a PLCN is asymptotically feedback controllable iff every state is asymptotically feedback stabilizable. Moreover, we express the criteria for the AFR and AFC of PLCNs in terms of the reachability matrix, which are easily checkable. The relations between the AFC and other definitions of controllability are also discussed. Finally, an illustrative example is provided to show the usage of the proposed results and to demonstrate the design of feedbacks achieving transitions between states.

在本文中，我们研究了概率逻辑控制网络 (PLCN) 的渐近反馈可控性 (AFC)。首先，提出了渐近反馈可达性（AFR）的概念，允许我们定义 AFC。然后，我们证明一个状态是渐近反馈可达的，当且仅当（iff）它是一个控制不动点，并且有一条从任何其他状态到它的可接受路径。基于此，我们证明了一个 PLCN 是渐近反馈可控的，当条件是每个状态都是渐近反馈稳定的。此外，我们根据可达性矩阵表达了 PLCN 的 AFR 和 AFC 的标准，这些标准易于检查。还讨论了 AFC 与其他可控性定义之间的关系。最后，