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### 多元多项式矩阵等价的进一步结果

1. 湖南科技大学数学与计算科学学院, 湘潭 411201
• 收稿日期:2021-07-24 修回日期:2021-10-23 出版日期:2021-12-25 发布日期:2022-03-16
• 基金资助:
国家自然科学基金（11871207）资助课题.

LI Dongmei, GUI Yingying. Further Results on the Equivalence of Multivariate Polynomial Matrices[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(12): 3299-3310.

### Further Results on the Equivalence of Multivariate Polynomial Matrices

LI Dongmei, GUI Yingying

1. School of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201
• Received:2021-07-24 Revised:2021-10-23 Online:2021-12-25 Published:2022-03-16

Multidimensional systems are often described by polynomial matrices, and problems on the equivalence of multidimensional systems in system theory are often transformed into problems on the equivalence of polynomial matrices. In this paper, we mainly study the equivalence of two kinds of multivariate polynomial matrices, and obtain the discriminant conditions for the equivalence of these matrices and their Smith forms, respectively. The conditions are easily verified, and an example is also used to illustrate these in the paper.

MR(2010)主题分类:

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