Geodesic
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, Tome 31 (2021) no. 4, pp. 627-633.

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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.
Keywords: divisibility, second order minor, transfer matrix, cyclic system, fractional system, linear system
Mots-clés : podzielność, macierz transferu, układ cykliczny, układ ułamkowy, układ liniowy 
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Kaczorek, Tadeusz. 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, Tome 31 (2021) no. 4, pp. 627-633. http://geodesic.mathdoc.fr/item/IJAMCS_2021_31_4_a6/

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