分数线性系统和电路中矩阵之间和多项式之间的角度

Tadeusz Kaczorek
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引用次数: 0

摘要

提出了分数线性系统的矩阵之间以及多项式与电路之间的角度概念。在分析分数线性系统状态矩阵之间的角度时,应用了两个矩阵的哈达玛乘积。此外,还讨论了矩阵及其函数之间的夹角。研究了矩阵对称部分和不对称部分之间的夹角。分析了分数线性系统传递矩阵的多项式之间的夹角,并建立了一些新的性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Angles between matrices and between polynomials in fractional linear systems and electrical circuits
The notions of angles between matrices and between polynomials of fractional linear systems and electrical circuits are proposed. In analysis of angles between state matrices of fractional linear systems the Hadamard product of two matrices is applied. The angles between matrices and their functions are also addressed. The angles between symmetrical and asymmetrical part of matrices are investigated. The angles between polynomials of transfer matrices of fractional linear systems are analyzed and some new properties are established.
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