Solution to generalized sylvester matrix equations

被引：44

作者：

Wu, Ai-Guo ^{[1
,2
]}

Duan, Guang-Ren ^{[1
,2
]}

Zhou, Bin ^{[2
]}

机构：

[1] Harbin Inst Technol, Shenzhen Grad Sch, Inst Informat & Control, Shenzhen 518055, Peoples R China

[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 03期

关键词：

explicit solutions; generalized Sylvester equations; parametric expressions; R-controllability matrix;

D O I：

10.1109/TAC.2008.919562

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An explicit solution to the generalized Sylvester matrix equation AX + BY = EXF is established. This solution is expressed in terms of the R-controllability matrix of (E, A, B), a generalized symmetric operator matrix and an observability matrix. Moreover, based on this solution, solutions to some other matrix equations are also derived. The results may provide great convenience for the analysis and synthesis problems related to these equations.

引用

页码：811 / 815

页数：5

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