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Research Article | Open Access

A note on explicit conditions for diagonal stability

Ali Algefary1( ), Jianhong Xu2
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
School of Mathematical and Statistical Sciences, Southern Illinois University Carbondale, Carbondale, IL 62901, USA
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Abstract

In this short note, we presented a number of alternative explicit necessary and sufficient conditions for diagonal stability along with a new proof of a well-known result in this regard.

Keywords

Lyapunov equationLyapunov functionscomplex networksdiagonal stabilityP-matrixpositive definite matrix
CLC number: 15A45, 15B48, 34D20, 37C75, 93D05

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25253-25260
DOI: 10.3934/math.20241232

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Cite this article:
Algefary A, Xu J. A note on explicit conditions for diagonal stability. AIMS Mathematics, 2024, 9(9): 25253-25260. https://doi.org/10.3934/math.20241232

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Received: 25 June 2024
Revised: 13 August 2024
Accepted: 22 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)