@article{Algefary2024, 
author = {Ali Algefary},
title = {A characterization of common Lyapunov diagonal stability using Khatri-Rao products},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {20612-20626},
keywords = {Lyapunov functions, matrix stability, matrix Lyapunov inequality, diagonal solution, large scale systems, positive definite matrix, Khatri-Rao product},
url = {https://www.sciopen.com/article/10.3934/math.20241001},
doi = {10.3934/math.20241001},
abstract = {Using the Khatri-Rao product, we presented new characterizations for the common Lyapunov diagonal stability for a family of real matrices  A. For special partitions  α, we used the notion of  Pα-sets and common  α-scalar Lyapunov stability to formulate further characterizations. Furthermore, generalizations of these results to the common  α-scalar Lyapunov stability were developed. Our goal of this paper was to unify and enhance relevant work.}
}