Authors: Dodig, Marija 
Title: Rank distance problem for pairs of matrices
Journal: Linear and Multilinear Algebra
Volume: 61
Issue: 2
First page: 205
Last page: 215
Issue Date: 1-Feb-2013
Rank: M22
ISSN: 0308-1087
DOI: 10.1080/03081087.2012.670237
Abstract: 
In this article we give a complete description of the possible feedback invariants of a completely controllable pair of matrices submitted to an additive perturbation of low rank. This result is valid over an arbitrary field.
Keywords: completion of matrices | feedback equivalence | low rank perturbations
Publisher: Taylor & Francis
Project: FCT, project ISFL-1-1431
Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems 

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