Divisibility of the second-order minors of the nominators by minimal denominators of transfer matrices of cyclic fractional linear systems
| 30 dic 2021
International Journal of Applied Mathematics and Computer Science
Advanced Machine Learning Techniques in Data Analysis (special section, pp. 549-611), Maciej Kusy, Rafał Scherer, and Adam Krzyżak (Eds.)
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 30 dic 2021
Pagine: 627 - 633
Ricevuto: 17 feb 2021
Accettato: 12 lug 2021
DOI: https://doi.org/10.34768/amcs-2021-0043
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© 2021 Tadeusz Kaczorek, published by Sciendo
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 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.