Parameterized solution to a class of sylvester matrix equations

被引：0

作者：

Qiao Y.-P. ^{[1
]}

Qi H.-S. ^{[2
]}

Cheng D.-Z. ^{[2
]}

机构：

[1] Center for Control and Optimization, College of Automation Science and Engineering, South China University of Technology

[2] Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

来源：

International Journal of Automation and Computing | 2010年 / 7卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Kronecker product; linear matrix equation; Luenberger observers; parameterized solution; Sylvester matrix equation;

D O I：

10.1007/s11633-010-0530-8

中图分类号：

学科分类号：

摘要：

A class of formulas for converting linear matrix mappings into conventional linear mappings are presented. Using them, an easily computable numerical method for complete parameterized solutions of the Sylvester matrix equation AX - EXF = BY and its dual equation XA - FXE = Y C are provided. It is also shown that the results obtained can be used easily for observer design. The method proposed in this paper is universally applicable to linear matrix equations. © 2010 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：479 / 483

页数：4

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