The reachable subspace dynamics of LTI systems remain uniquely identifiable from any experiment, even when the full system is not.
Because x0 ∈S and S is A−invariant, we necessarily have Akx0 ∈S for all k∈ {0
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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.