论文标题
动态网络的可识别性：双重和丁克的基本效果
Identifiability of dynamic networks: the essential rôle of dources and dinks
论文作者
论文摘要
该论文[1]提出了有关动态网络的通用性识别性的第一个结果，该网络具有部分激发和部分测量结果，即，并非所有节点都兴奋或不测量所有节点的网络。该论文的一项关键贡献是建立一组必要条件，以保证可识别性可识别性的激发和测量模式（EMP）。简而言之，这些条件确定所有来源都必须受到激发并测量所有水槽，并且所有其他节点都必须受到激发或测量。在本文中，我们表明，由网络的本地拓扑定义的另外两种类型的节点在寻找有效的EMP时起着重要的作用，即保证一种通用可识别性。我们称这些节点双重和丁克。我们表明，仅当除了上述条件外，所有企业都兴奋并且所有dink均已测量，因此网络通常是可以识别的。我们还表明，来源和借助是网络中始终需要激动的唯一节点，而沉没和dinks是唯一需要测量EMP有效的节点。
The paper [1] presented the first results on generic identifiability of dynamic networks with partial excitation and partial measurements, i.e. networks where not all nodes are excited or not all nodes are measured. One key contribution of that paper was to establish a set of necessary conditions on the excitation and measurement pattern (EMP) that guarantee generic identifiability. In a nutshell, these conditions established that all sources must be excited and all sinks measured, and that all other nodes must be either excited or measured. In the present paper, we show that two other types of nodes, which are defined by the local topology of the network, play an essential rôle in the search for a valid EMP, i.e. one that guarantees generic identifiability. We have called these nodes dources and dinks. We show that a network is generically identifiable only if, in addition to the above mentioned conditions, all dources are excited and all dinks are measured. We also show that sources and dources are the only nodes in a network that always need to be excited, and that sinks and dinks are the only nodes that need to be measured for an EMP to be valid.
