A HOMEOMORPHISM BETWEEN OBSERVABLE PAIRS AND CONDITIONED INVARIANT SUBSPACES

摘要

A bijective correspondence between similarity classes of observable systems (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 McMillan degree. Proofs using state space methods as well as using polynomial models are: given. (C) 1997 Elsevier Science B.V. [References: 12]