On the geometry of the generalized partial realization problem

被引：0

作者：

I. Baragaña

F. Puerta

X. Puerta

I. Zaballa

机构：

[1] Universidad del País Vasco,Departamento de Ciencias de la Computación e IA

[2] UPC Institut d’Organització i Control(IOC) UPC,Departament de Matemàtica Aplicada I, E.T.S. Enginyeria Industrial de Barcelona

[3] Universidad del País Vasco,Departamento de Matemática Aplicada y EIO

来源：

Mathematics of Control, Signals, and Systems | 2010年 / 22卷

关键词：

(; , ; )-controlled invariant subspace; Brunovsky indices; Smooth manifold; Grassmann manifold; Partial realization; Cover problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The geometry of the set of generalized partial realizations of a finite nice sequence of matrices is studied. It is proved that this set is a stratified manifold, the dimension of their strata is computed and its connection with the geometry of the cover problem is clarified. The results can be applied, as a particular case, to the classical partial realization problem.

引用

页码：39 / 89

页数：50

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