Conjecture: marginal stability implies asymptotic stability for a class of perturbed polynomials

We make the following conjecture: the marginal stability of the characteristic polynomial of a discrete-time system of difference equations implies the asymptotic stability of a class of associated perturbed polynomials. We support our claim by a random list of examples.

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Publication Details

Journal
International Journal of Mathematical Analysis
Published
2025-01-01
DOI
https://doi.org/10.12988/ijma.2025.912566
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
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article

Conjecture: marginal stability implies asymptotic stability for a class of perturbed polynomials

Ziad Zahreddine
International Journal of Mathematical Analysis
Advanced Differential Equations and Dynamical Systems
article

Conjecture: marginal stability implies asymptotic stability for a class of perturbed polynomials

Ziad Zahreddine
article en

Abstract

We make the following conjecture: the marginal stability of the characteristic polynomial of a discrete-time system of difference equations implies the asymptotic stability of a class of associated perturbed polynomials. We support our claim by a random list of examples.

International Journal of Mathematical AnalysisVol. 19(2)
Openalex Percentile: Top 85%
Advanced Differential Equations and Dynamical Systems
DOISourceOpenAlex
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Conjecture: marginal stability implies asymptotic stability for a class of perturbed polynomials — Ziad Zahreddine · International Journal of Mathematical Analysis (2025) | TGRS Research Map | TGRS