The reachable subspace dynamics of LTI systems remain uniquely identifiable from any experiment, even when the full system is not.
On sampling without loss of observability/controllability.IEEE Transactions on Automatic Control, 44(5):1021–1025
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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.