Discernibility of Switched Linear Dynamical Networks

• 成果类型: Article
• 署名作者: Fan, Ziye; Wu, Xiaoqun; Mao, Bing; Lu, Jinhu
• 署名单位: Shenzhen University; Wuhan University; Beihang University; Zhongguancun Laboratory
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3677731
• 发表日期: 2026
• 关键词: identifiability; distinguishability; INVERTIBILITY; observability; input

摘要

The necessary and sufficient conditions for distinguishing between two switched linear dynamical networks through trajectories are investigated. Three discernibility concepts are originally proposed, addressing two critical components of switched systems: switching instants and system topologies. First, the necessary and sufficient discernibility condition is established for systems with identical switching instants but potentially distinct topologies, revealing that the discernibility of switched networks cannot be reduced to that of pairwise topological variations when multiple topological changes exist. Second, instant discernibility is examined for systems sharing identical topology sequences but differing in switching instants. Furthermore, comprehensive switching discernibility condition is derived, demonstrating that networks with entirely different switching sequences can generate identical evolution trajectories under specific configurations. Finally, applications of the results in diversifying the communication channels among multiagents is demonstrated through procedures to generate switched systems that exhibit the same trajectories as time-invariant systems.