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

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

International Journal of Applied Mathematics and Computer Science Pub Date : 2021-12-01 DOI:10.34768/amcs-2021-0043

T. Kaczorek

引用次数: 0

Abstract

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.

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循环分数阶线性系统转移矩阵的二阶次要项被最小分母的可整除性

摘要分析了循环分数阶线性系统传递矩阵的二阶次要分子可被其最小分母整除的问题。证明了当且仅当分数阶标准线性系统和广义线性系统的系统矩阵是循环的时，转移矩阵的分子的所有非零二阶子式都能被它们的最小分母整除。用分数阶标准系统和广义线性系统的例子说明了这些定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Applied Mathematics and Computer Science 工程技术-计算机：人工智能

CiteScore

4.10

自引率

21.10%

发文量

审稿时长

4.2 months

期刊介绍： The International Journal of Applied Mathematics and Computer Science is a quarterly published in Poland since 1991 by the University of Zielona Góra in partnership with De Gruyter Poland (Sciendo) and Lubuskie Scientific Society, under the auspices of the Committee on Automatic Control and Robotics of the Polish Academy of Sciences. The journal strives to meet the demand for the presentation of interdisciplinary research in various fields related to control theory, applied mathematics, scientific computing and computer science. In particular, it publishes high quality original research results in the following areas: -modern control theory and practice- artificial intelligence methods and their applications- applied mathematics and mathematical optimisation techniques- mathematical methods in engineering, computer science, and biology.