A homeomorphism between observable pairs and conditioned invariant subspaces

被引：15

作者：

Fuhrmann, PA ^{[1
]}

Helmke, U ^{[1
]}

机构：

[1] UNIV WURZBURG,INST MATH,D-8700 WURZBURG,GERMANY

来源：

SYSTEMS & CONTROL LETTERS | 1997年 / 30卷 / 05期

关键词：

parametrization problems; conditioned invariant subspaces; geometric control; inner functions;

D O I：

10.1016/S0167-6911(97)00013-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：217 / 223

页数：7

共 12 条

[1]

BASILE G, 1973, J OPTIM THEORY APPL, V3, P306

[2] A POLYNOMIAL CHARACTERIZATION OF (A,B)-INVARIANT AND REACHABILITY SUBSPACES [J].