<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The divisibility of the second-order minors of the numerators of transfer matrices by their minimal denominators for cyclic fractional linear systems is analyzed. It is shown that all nonzero second-order minors of the numerators of the transfer matrices are divisible by their minimal denominators if and only if the system matrices of fractional standard and descriptor linear systems are cyclic. The theorems are illustrated by examples of fractional standard and descriptor linear systems.</p>
</abstract>

The divisibility of the second-order minors of the numerators of transfer matrices by their minimal denominators for cyclic fractional linear systems is analyzed. It is shown that all nonzero second-order minors of the numerators of the transfer matrices are divisible by their minimal denominators if and only if the system matrices of fractional standard and descriptor linear systems are cyclic. The theorems are illustrated by examples of fractional standard and descriptor linear systems.

Divisibility of the second-order minors of the nominators by minimal denominators of transfer matrices of cyclic fractional linear systems

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The divisibility of the second-order minors of the numerators of transfer matrices by their minimal denominators for cyclic fractional linear systems is...

Divisibility of the second-order minors of the nominators by minimal denominators of transfer matrices of cyclic fractional linear systems

Publié en ligne: 30 déc. 2021

Pages: 627 - 633

Reçu: 17 févr. 2021

Accepté: 12 juil. 2021

DOI: https://doi.org/10.34768/amcs-2021-0043

Mots clés
divisibility, second-order minor, transfer matrix, cyclic system, fractional system, linear system

© 2021 Tadeusz Kaczorek, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Divisibility of the second-order minors of the nominators by minimal denominators of transfer matrices of cyclic fractional linear systems

Publié en ligne: 30 déc. 2021

Pages: 627 - 633

Reçu: 17 févr. 2021

Accepté: 12 juil. 2021

DOI: https://doi.org/10.34768/amcs-2021-0043

Mots clésdivisibility, second-order minor, transfer matrix, cyclic system, fractional system, linear system

© 2021 Tadeusz Kaczorek, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
divisibility, second-order minor, transfer matrix, cyclic system, fractional system, linear system