✦ LIBER ✦

A homeomorphism between observable pairs and conditioned invariant subspaces

✍ Scribed by P.A. Fuhrmann; U. Helmke

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 507 KB
Volume: 30
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(97)00013-3

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✦ Synopsis

A bijective correspondence between similarity classes of observable systems (C, A) and n-codimensional conditioned invariant subspaces of a pair (cg, ~4) is constructed that leads to a homeomorphism of the spaces. This is applied to the parametrization of inner functions of fixed McMillan degree. Proofs using state space methods as well as using polynomial models are given. @ 1997 Elsevier Science B.V.