A circular stability test for general polynomials
type: Item
instance of: scholarly article
title: A circular stability test for general polynomials
zbMATH Open document ID: 0595.93051
DOI: 10.1016/0167-6911(86)90013-7
author: Yuval Bistritz
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: The paper represents an extension of a previous author's paper [see Proc. IEEE 72, 1131 (1984)] to the circular stability test for polynomials with complex coefficients. The procedure proposed by the author for the calculation of the zeros of a polynomial with complex coefficients is based on a three-term recursion of symmetric polynomials and can be carried out by only real arithmetics. The lemmas and theorems provided in the paper permit to obtain conditions for which the zeros of polynomials with complex coefficients are located inside, on and outside of the unit circle in the complex plane. This paper represents a notable contribution in the stability technique of discrete-time systems.
Mathematics Subject Classification ID: 93D99
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 3959248
zbMATH Keywords: circular stability test for polynomials with complex coefficients
zbMATH Keywords: discrete-time systems
reviewed by: Sergiu T. Chiriacescu
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90013-7
OpenAlex ID: W2089833049
cites work: Q5797046
cites work: Q3309525
cites work: A direct Routh stability method for discrete system modelling
cites work: Schwarz matrix properties for continuous and discrete time systems
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description: scientific article; zbMATH DE number 3959248