Comments on pole assignability over rings
type: Item
instance of: scholarly article
title: Comments on pole assignability over rings
zbMATH Open document ID: 0565.93029
DOI: 10.1016/0167-6911(85)90007-6
published in: Systems \& Control Letters
publication date: 1985-01-01T00:00:00Z
review text: We observe that the proof by \textit{R. Eising} [Syst. Control Lett. 2, 225- 229 (1982; Zbl 0529.93028)] of the pole assignment theorem for linear systems over a principal ideal domain actually remains valid for any elementary divisor ring. For large classes of rings matrix characterizations of pole assignability are given.
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 13F15
zbMATH DE Number: 3902493
zbMATH Keywords: pole assignment
zbMATH Keywords: linear systems over a principal ideal domain
zbMATH Keywords: elementary divisor ring
author: C. G. Naude
author: G. Naude
MaRDI profile type: Publication
full work available at URL: 0167-6911(85)90007-6
OpenAlex ID: W1965158224
cites work: The pole assignability property in polynomial rings over GCD-domains
cites work: On bézout domains, elementary divisor rings, and pole assignability
cites work: Remarks on the pole-shifting problem over rings
cites work: Pole assignment for systems over rings
cites work: Elementary Divisors and Modules
cites work: Serre's conjecture
cites work: On pole assignment problems in polynomial rings
cites work: Q3674472
cites work: Polynomial rings over arbitrary fields in two or more variables are not pole assignable
description: scientific article; zbMATH DE number 3902493