Abstract
Explicit formulae of dominant parts of the estimation errors of plant A matrix in PI-MOESP, PO-MOESP, and one of N4SID methods are derived based on a proposing lemma on perturbations to the singular subspaces. By considereing a gap between the true and a perturbed singular subspaces instead of the perturbation on the subspace, a simple formulae of the estimation error is obtained. The order of the subordinate terms are also analysed.
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