The Smith normal form and controllability of liner systems over F(z)

机译：F（z）上班轮系统的史密斯范式和可控性

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In this paper, some structural controllability properties in frequency domain over F(z) are studied. The conclusion which is used to investigate the co-primeness with smith normal form over R is extended to the RFS (Rational Function Systems). Smith normal form PBH (Popov-Belevich-Hautus) controllability criterion for the system over F(z) is derived which based on the PBH controllability criterion existed over F(z). An illustrative example is given and the controllability conditions of a class of RFS are proven.

机译：本文研究了F（z）上频域的一些结构可控性。用于研究与R上的史密斯范式的共素性的结论被扩展到RFS（理性功能系统）。推导了系统在F（z）上的史密斯范式PBH（Popov-Belevich-Hautus）可控性准则，该准则基于F（z）上存在的PBH可控性准则。给出了一个说明性示例，并证明了一类RFS的可控性条件。

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《2011 International Conference on Electric Information and Control Engineering》|2011年|p.882-886|共5页
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Yu-peng Yuan; Lu Kai-Sheng;
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中图分类自动化技术及设备;
关键词
Smith normal form; co-prime; linear system; rational function matrix; structural controllability;

机译：Smith范式;互素数;线性系统;有理函数矩阵;结构可控性;

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2. Smith meets Smith: Smith normal form of Smith matrix [J] . Linear and Multilinear Algebra . 2011,第5期

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机译：通过单模块分区变换将大多项式矩阵简化为smith-正规形式。

The Smith normal form and controllability of liner systems over F(z)

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