The Matrix Pencil Method for Determining Imaginary Axis Eigenvalues and Stability of Neutral Delay Reaction–Diffusion Systems

Jian Ma, Rui Liu and Luisa Di Paola

Discrete Dynamics in Nature and Society, 2025, vol. 2025, 1-5

Abstract: In this note, the stability of neutral delay reaction–diffusion systems (NDRDS) was concerned by applying the matrix pencil and the Kronecker product. A new computing method for the distribution of imaginary axis eigenvalues on general n-dimensional NDRDS will be introduced. A practical, checkable criterion for the asymptotic stability will be derived. The main contribution of this paper is that we provide a computational method for determining imaginary axis eigenvalues and minimal delay margin on general NDRDS.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5551426

DOI: 10.1155/ddns/5551426

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