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Paper details
Number 4 - December 2021
Volume 31 - 2021
Divisibility of the second-order minors of the nominators by minimal denominators of transfer matrices of cyclic fractional linear systems
Tadeusz Kaczorek
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.
Keywords
divisibility, second-order minor, transfer matrix, cyclic system, fractional system, linear system