Modified Schur-Cohn criterion for stability of delayed systems
type: Item
instance of: scholarly article
title: Modified Schur-Cohn criterion for stability of delayed systems
zbMATH Open document ID: 1394.34152
DOI: 10.1155/2015/846124
author: Juan Ignacio Mulero-Martínez
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A modified Schur-Cohn criterion for time-delay linear time-invariant systems is derived. The classical Schur-Cohn criterion has two main drawbacks; namely, (i) the dimension of the Schur-Cohn matrix generates some round-off errors eventually resulting in a polynomial of \(s\) with erroneous coefficients and (ii) imaginary roots are very hard to detect when numerical errors creep in. In contrast to the classical Schur-Cohn criterion an alternative approach is proposed in this paper which is based on the application of triangular matrices over a polynomial ring in a similar way as in the Jury test of stability for discrete systems. The advantages of the proposed approach are that it halves the dimension of the polynomial and it only requires seeking real roots, making this modified criterion comparable to the Rekasius substitution criterion.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93B60
zbMATH DE Number: 6927375
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/846124
OpenAlex ID: W2021067096
Wikidata QID: Q59119649
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description: scientific article; zbMATH DE number 6927375