Pole-shifting for linear systems over commutative rings
type: Item
instance of: scholarly article
title: Pole-shifting for linear systems over commutative rings
zbMATH Open document ID: 1008.93022
DOI: 10.1016/S0024-3795(01)00502-X
author: T. Sánchez-Giralda
author: Miguel V. Carriegos
author: Jose Angel Hermida Alonso
published in: Linear Algebra and its Applications
publication date: 2002-06-24T00:00:00Z
review text: The authors consider the problem of modifying by feedback the characteristic polynomial of a not necessarily reachable linear dynamical system over a commutative ring \(R\). They introduce the notion of PS ring in the same way as the notion of pole assignable ring is given for reachable systems. Then they prove that a bcs ring is a PS ring and that over a Prüfer domain these properties are equivalent. Finally, the authors study when the converse of the pole-shifting theorem is verified.
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1758610
zbMATH Keywords: linear systems theory
zbMATH Keywords: pole assignability
zbMATH Keywords: commutative ring
zbMATH Keywords: system over a ring
zbMATH Keywords: bcs ring
zbMATH Keywords: Prüfer domain
zbMATH Keywords: pole-shifting
reviewed by: Nikolai I. Osetinski
MaRDI profile type: Publication
cites work: Q3745932
cites work: Pole assignability in polynomial rings, power series rings, and Prüfer domains
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cites work: Q4093557
cites work: Q4859392
cites work: BCS rings
cites work: Complex-valued functions on the plane are pole-assignable
description: scientific article; zbMATH DE number 1758610