The change of feedback invariants under column perturbations: particular cases

Autor:	Marta Peña, Inmaculada de Hoyos, M. Asunción Beitia, Albert Compta
Rok vydání:	2010
Předmět:	Controllability Discrete mathematics Matrix (mathematics) Algebra and Number Theory Mathematical analysis Majorization Column (data store) Mathematics
Zdroj:	Linear and Multilinear Algebra. 58:45-59
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081080802086296
Popis:	We study the variation of the feedback invariants of a complex rectangular n × (n + m) matrix when we make small additive perturbations to the elements of the last m columns. First of all, we obtain necessary conditions for the feedback invariants of all the matrices obtained by means of sufficiently small perturbations. Conversely, we prove that these conditions are also sufficient to find a matrix, as close as desired to the fixed matrix, with prescribed feedback invariants, in some particular cases: when the rectangular matrix is completely controllable, when the rectangular matrix is completely uncontrollable and when m = 1.
Databáze:	OpenAIRE
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