Hermite indices and the action of the feedback group

被引：1
|
作者：
Baragaña, I
Fernández, V
Zaballa, I
机构：
[1] Univ Basque Country, Dept Matemat Aplicada, E-48080 Bilbao, Spain
[2] Univ Basque Country, EIO, E-48080 Bilbao, Spain
[3] Univ Basque Country, Dept Ciencias Comp & IA, E-20080 San Sebastian, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 401卷
关键词：
feedback equivalence; similarity; controllability indices; Brunovsky indices; hermite indices; majorization;
D O I：
10.1016/j.laa.2004.10.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The controllability indices are a complete system of invariants for the feedback equivalence relation of controllable matrix pairs. The Hermite indices are invariant for the similarity of matrix pairs but they are not invariant by changing bases on the input space and performing state feedback. The aim of this work is to partially characterize the Hermite indices of a controllable matrix pair when transformations of the feedback group are performed on it. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：401 / 427
页数：27
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