The reachable subspace dynamics of LTI systems remain uniquely identifiable from any experiment, even when the full system is not.
Persistency of exci- tation in continuous-time systems.Systems & control letters, 9(3):225–233
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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.