Divisibility of the Second–Order Minors of the Nominators by Minimal Denominators of Transfer Matrices of Cyclic Fractional Linear Systems

Autor:	Kaczorek Tadeusz
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	divisibility second-order minor transfer matrix cyclic system fractional system linear system Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	International Journal of Applied Mathematics and Computer Science, Vol 31, Iss 4, Pp 627-633 (2021)
Druh dokumentu:	article
ISSN:	2083-8492 2021-0043
DOI:	10.34768/amcs-2021-0043
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d9431956be134da89adff4a26103c4e2 Zobrazit plný text záznamu View record in DOAJ