In this paper, we consider the exact boundary controllability of nodal profile for Saint-Venant systems on a network with loops. In the case with one object-node, the proposed cut-off method not only contains the results obtained in [13] on a special network with a triangle-like loop in a unified way, but also generalizes these results to general networks with loops. Based on the results in the case with one object-node, the proposed cut-off method can also be applied successfully to the case with several object-nodes.

中文翻译：

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一种在一般有环网络上实现Saint-Venant系统节点剖面精确边界可控的截断方法

在本文中，我们考虑了具有环路的网络上 Saint-Venant 系统节点轮廓的精确边界可控性。在有一个目标节点的情况下，所提出的截止方法不仅包含了 [13] 中在具有类似三角形回路的特殊网络上以统一方式获得的结果，而且将这些结果推广到具有回路的一般网络. 基于具有一个对象节点的情况的结果，所提出的截止方法也可以成功地应用于具有多个对象节点的情况。