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
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831346
