A note on explicit conditions for diagonal stability

Ali Algefary; Jianhong Xu; Ali Algefary; Jianhong Xu

doi:10.3934/math.20241232

AIMS Mathematics

2024, Volume 9, Issue 9: 25253-25260. doi: 10.3934/math.20241232

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A note on explicit conditions for diagonal stability

Ali Algefary ^{1
,
,},
Jianhong Xu ²

1.
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
2.
School of Mathematical and Statistical Sciences, Southern Illinois University Carbondale, Carbondale, IL 62901, USA

Received: 25 June 2024 Revised: 13 August 2024 Accepted: 22 August 2024 Published: 29 August 2024
MSC : 15A45, 15B48, 34D20, 37C75, 93D05

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.
- Lyapunov equation,
- Lyapunov functions,
- complex networks,
- diagonal stability,
- $ P $-matrix,
- positive definite matrix
Citation: Ali Algefary, Jianhong Xu. A note on explicit conditions for diagonal stability[J]. AIMS Mathematics, 2024, 9(9): 25253-25260. doi: 10.3934/math.20241232

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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.

References

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