F(z)上系统能控性PBH判据

鲁凯生,袁裕鹏

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (6) : 653-660.

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PDF(292 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (6) : 653-660. DOI: 10.12341/jssms12119
论文

F(z)上系统能控性PBH判据

    鲁凯生1,袁裕鹏2
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PBH CRITERION OF CONTROLLABILITY FOR LINEAR SYSTEMS OVER F(z)

    LU Kaisheng1, YUAN Yupeng2
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摘要

将实数域上线性系统能控性PBH判据推广到多元有理函数域F(z).由于实数域是F(z)的子域, 且为结构化矩阵,一次多项式矩阵和混合矩阵都可视为一类F(z)上矩阵,所以获得的判据适用的范围更广. 给出了几个应用实例.

Abstract

In this paper, the PBH criterion of controllability for  linear systems over the real field is extend to the systems over the  rational function field F(z). Since the real field is a subfield  of F(z) and SM  (structured matrix), one-degree polynomial matrix and mixed matrix can  be considered to be a class of matrices over F(z), the criterion  obtained in this paper is more universal. Finally some examples are given.

关键词

结构能控 / 多元有理函数 / 互素 / PBH判据.

Key words

Structural controllability, rational function,  / coprime, PBH criterion.

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鲁凯生,袁裕鹏. F(z)上系统能控性PBH判据. 系统科学与数学, 2013, 33(6): 653-660. https://doi.org/10.12341/jssms12119
LU Kaisheng, YUAN Yupeng. PBH CRITERION OF CONTROLLABILITY FOR LINEAR SYSTEMS OVER F(z). Journal of Systems Science and Mathematical Sciences, 2013, 33(6): 653-660 https://doi.org/10.12341/jssms12119
中图分类号: 00A06   
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