Some results on pole-placement and reachability
type: Item
instance of: scholarly article
title: Some results on pole-placement and reachability
zbMATH Open document ID: 0575.93033
DOI: 10.1016/0167-6911(86)90127-1
author: Pramod K. Sharma
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: It is proved that a 2-dimensional system (F,G) over a projective free ring is pole-assignable if and only if im G contains a unimodular element. Further it is shown that im G contains a unimodular element iff \(F^{-1}(im G)\) contains a unimodular element. Some observations on reachability are also mentioned in the last section.
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 3920317
zbMATH Keywords: 2-dimensional system
zbMATH Keywords: projective free ring
zbMATH Keywords: reachability
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90127-1
OpenAlex ID: W2018792275
cites work: Remarks on the pole-shifting problem over rings
cites work: On bézout domains, elementary divisor rings, and pole assignability
cites work: On reachability over polynomial rings and a related genericity problem†
cites work: On pole assignment problems in polynomial rings
cites work: Parametric stabilization is easy
description: scientific article; zbMATH DE number 3920317