Dimension of orbits of linear time-invariant singular systems under restricted system equivalence

被引：1

作者：

Clotet, Josep ^{[1
]}

Magret, M. Dolors ^{[1
]}

机构：

[1] ETSEIB UPC, Dept Matemat Aplicada 1, Barcelona 08028, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 5-6期

关键词：

singular linear systems; matrix pencils; Kronecker canonical form; orbits under a Lie group action; miniversal deformations;

D O I：

10.1016/j.laa.2007.05.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the set of quadruples of matrices defining regular singular linear time-invariant dynamical systems under restricted system equivalence and derive miniversal deformations from a basis of the normal space to orbits under the Lie group action related to this equivalence relation. A lower bound and an upper bound for the dimension of the orbits are obtained. We conclude with examples and further comments about genericity. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1102 / 1113

页数：12

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