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.由于实数域是的子域, 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 . Since the real field is a subfield of and SM (structured matrix), one-degree polynomial matrix and mixed matrix can be considered to be a class of matrices over , 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.
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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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