A HOMEOMORPHISM BETWEEN OBSERVABLE PAIRS AND CONDITIONED INVARIANT SUBSPACES

Authors
FUHRMANN PA HELMKE U
Citation
Pa. Fuhrmann et U. Helmke, A HOMEOMORPHISM BETWEEN OBSERVABLE PAIRS AND CONDITIONED INVARIANT SUBSPACES, Systems & control letters, 30(5), 1997, pp. 217-223
Citations number
12
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
30
Issue
5
Year of publication
1997
Pages
217 - 223
Database
ISI
SICI code
0167-6911(1997)30:5<217:AHBOPA>2.0.ZU;2-H
Abstract
A bijective correspondence between similarity classes of observable sy stems (C, A) and n-codimensional conditioned invariant subspaces of a pair (C,A) is constructed that leads to a homeomorphism of the spaces. This is applied to the parametrization of inner functions of fixed Mc Millan degree. Proofs using state space methods as well as using polyn omial models are: given. (C) 1997 Elsevier Science B.V.