Identifiability of Dynamic Networks: The Essential Rôle of Dources and Dinks

• 成果类型: Article
• 署名作者: Mapurunga, Eduardo; Gevers, Michel; Bazanella, Alexandre S.
• 署名单位: Universidade Federal do Rio Grande do Sul; Universite Catholique Louvain
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3328270
• 发表日期: 2024
• 页码: 1303-1308
• 关键词: Dynamic networks; network analysis and control; network identification

摘要

The article (Bazanella et al., 2019) presented the first results on generic identifiability of dynamic networks with partial excitation and partial measurements. All previous papers assumed that either all nodes are excited or 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: all sources must be excited and all sinks measured, and all other nodes must be either excited or measured. In this article, we show that two other types of nodes, which are defined by the local topology of the network, play an essential role 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 abovementioned 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.