The reachable subspace dynamics of LTI systems remain uniquely identifiable from any experiment, even when the full system is not.
Identifiability analysis of linear ordinary differen- tial equation systems with a single trajectory.Applied Mathematics and Computation, 430:127260
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Limits of Learning Linear Dynamics from Experiments
The reachable subspace dynamics of LTI systems remain uniquely identifiable from any experiment, even when the full system is not.