A characterization of common Lyapunov diagonal stability using Khatri-Rao products.

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 a, 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. [ABSTRACT FROM AUTHOR]