On minimal degree simultaneous pole assignment problems
type: Item
instance of: scholarly article
title: On minimal degree simultaneous pole assignment problems
zbMATH Open document ID: 1020.93008
DOI: 10.1016/S0024-3795(01)00507-9
published in: Linear Algebra and its Applications
publication date: 2002-08-28T00:00:00Z
review text: The main objective of this paper is to find the smallest possible integer \(q\) such that the closed-loop characteristic polynomials of a generic \(r\)-tuple of linear systems of degrees \(n_1,\dots, n_r\), respectively, can be arbitrarily assigned by a single dynamic compensator of degree not exceeding \(q\). It is shown that such an \(r\)-tuple of \(m\)-input \(p\)-output linear systems is simultaneously pole assignable if \(r< m+p\) and the McMillan degrees of the systems are not too different. Upper bounds for the degrees of the compensators which simultaneously assign the characteristic polynomials of the \(r\)-tuple of closed-loop systems are also obtained. The upper bounds are obtained for each of the two cases \(r\leq \max(m,p)\) and \(\max(m,p)< r< m+p\).
Mathematics Subject Classification ID: 93B55
zbMATH DE Number: 1790287
zbMATH Keywords: simultaneous pole placement
zbMATH Keywords: dynamic compensator
author: Bijoy K. Ghosh
author: X. Wang
reviewed by: Petko Hr. Petkov
MaRDI profile type: Publication
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full work available at URL: s0024-3795(01)00507-9
OpenAlex ID: W2085675354
description: scientific article; zbMATH DE number 1790287