Discernibility of Topological Variations for Networked LTI Systems

• 成果类型: Article
• 署名作者: Hao, Yuqing; Wang, Qingyun; Duan, Zhisheng; Chen, Guanrong
• 署名单位: Beihang University; Beihang University; Peking University; City University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3137791
• 发表日期: 2023
• 页码: 377-384
• 关键词: Discernibility; indiscernible state; networked systems; topological variation

摘要

In this article, the discernibility of topological variations for networked linear time-invariant (LTI) systems is investigated, where the network topology is general, and the nodes have identical higher dimensional dynamics. A necessary and sufficient condition on the discernibility is derived, revealing how the topological variations, node-system dynamics, and inner interactions altogether affect the discernibility of the network. Compared with the existing conditions in (Patil et al., 2019) and (Roy et al., 2020), which require the network topology to be undirected, this condition is more general. Furthermore, the discernibility of topological variations for multiagent systems is revisited. A new necessary and sufficient condition is established, and the indiscernible space is completely characterized. Differing from the condition provided in (Roy et al., 2020), this condition removes the requirements on the multiagent system and has broader applicability. The effectiveness of the results is demonstrated by several examples.