.png){kind=icon}
.png){kind=icon}
Return
Discernibility of Switched Linear Dynamical Networks
.png){kind=icon}
PRE
AI
Z
X
B
J
DOI：10.1109/tac.2026.3677731.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
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.
Keywords:
Linear dynamical networks
switched systems
switching discernibility
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W
Organization
Cited Papers