DocumentCode
1814420
Title
Complete parametric solution to the matrix equation AV+BW=EVJ+R
Author
Duan, Guang-Ren ; Thompson, Steve ; Liu, Guo-ping
Author_Institution
Sch. of Mech. & Manuf. Eng., Queen´´s Univ., Belfast, UK
Volume
3
fYear
1999
fDate
1999
Firstpage
2742
Abstract
The matrix equation AV+BW=EVJ+R is closely related to some basic design problems in linear systems theory. With matrices A, B, R and J given, and J in Jordan form, general complete parameterizations of all the matrices V and W are presented based on elementary matrix transformations
Keywords
control system synthesis; eigenvalues and eigenfunctions; linear systems; matrix algebra; Jordan form; basic design problems; complete parametric solution; elementary matrix transformations; generalized Sylvester matrix equation; linear systems theory; Artificial intelligence; Control theory; Eigenvalues and eigenfunctions; Equations; Large-scale systems; Linear systems; Manufacturing; Matrix converters; Power engineering and energy;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.831346
Filename
831346
Link To Document