Abstract

In this paper, model sets for continuous-time linear time invariant systems that are spanned by fixed pole orthonormal bases are investigated. These bases generalise the well known Laguerre and Kautz bases. It is shown that the obtained model sets are complete in all of the Hardy spaces Hp(Π), 1 ≤ p p (Π), 1 ≤ p p (Π), 1 ≤ p < ∞. The results in this paper have application in system identification, model reduction and control system synthesis.

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