Article ID Journal Published Year Pages File Type
4602228 Linear Algebra and its Applications 2008 12 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory