This paper addresses a class of network-to-network control problems in the presence of heterogeneous topologies. To achieve the coordination of nodes in a controlled network, a networked controller with a heterogeneous topology is presented in an observer form based on the nearest neighbor rule. It is shown that the network-to-network control problem can be transformed into a coordination problem on a network subject to hybrid static and dynamic interactions. Furthermore, these hybrid interactions among nodes can be represented by appropriately constructing a dynamic graph, of which the connectivity provides a necessary and sufficient guarantee for all nodes to reach agreement on the average quantity of their initial conditions. Simulations are given to illustrate the effectiveness of our results obtained through the dynamic graph approach.

中文翻译：

---

异构拓扑的网络到网络控制：动态图方法

本文解决了存在异构拓扑的一类网络到网络控制问题。为了实现受控网络中节点的协调，基于最近邻规则以观察者的形式呈现具有异构拓扑的网络控制器。结果表明，在静态和动态混合交互作用下，网络到网络的控制问题可以转化为网络上的协调问题。此外，这些节点之间的混合交互可以通过适当构建动态图来表示，其中的连通性为所有节点就其初始条件的平均数量达成一致提供了必要和充分的保证。给出了模拟来说明我们通过动态图方法获得的结果的有效性。