Parameterized solution to generalized Sylvester matrix equation

Author

Yupeng, Qiao ; Hongsheng, Qi ; Daizhan, Cheng

Author_Institution

Key Lab. of Syst. & Control, Chinese Acad. of Sci., Beijing

fYear

2008

fDate

16-18 July 2008

Firstpage

2

Lastpage

6

Abstract

The paper considers the parameterized solution to generalized Sylvester matrix equation. A set of matrix computation formulas have been developed. Using them, formulas for converting generalized Sylvester matrix mappings into conventional linear mappings are obtained. Based on this equation, an easily computable numerical algorithm for complete parameterized solutions of generalized Sylvester matrix equation is provided. The standard Sylvester matrix equation AX - EXF = BY and its dual equation XA - FXE = YC are considered as its special cases and then the corresponding solutions can be produced easily. Some further properties are also investigated. Comparing with existing algorithms, new approach simplified the computation significantly.

Keywords

matrix algebra; generalized Sylvester matrix equation; linear mappings; matrix computation formulas; numerical algorithm; parameterized solution; Control systems; Control theory; Equations; Laboratories; Matrix converters; Stacking; State feedback; Virtual colonoscopy; Parameterized solution; Sylvester matrix equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4604885

Filename

4604885