DocumentCode
1743863
Title
Generalized Lyapunov equations for stable singular system
Author
Gang, Zhou ; Qinging, Zhang ; Haiying, Jing ; Liu, Wanquan
Author_Institution
Coll. of Sci., Northeastern Univ., Shenyang, China
Volume
1
fYear
2000
fDate
2000
Firstpage
630
Abstract
A linear time-invariant singular system Ex˙(t)=Ax(t)+Bu(t), y(t)=Cx(t) is treated. Two generalized Lyapunov equations for the stable system, one for controllability and the other one for observability, are constructed. The sufficient and necessary conditions for the existence of unique, positive definite solutions to the two equations are derived
Keywords
Lyapunov methods; controllability; linear systems; observability; stability; Lyapunov equations; controllability; linear time-invariant system; necessary condition; observability; singular system; stable system; sufficient condition; Control systems; Controllability; Educational institutions; Eigenvalues and eigenfunctions; Equations; Matrix decomposition; Observability; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location
Sydney, NSW
ISSN
0191-2216
Print_ISBN
0-7803-6638-7
Type
conf
DOI
10.1109/CDC.2000.912836
Filename
912836
Link To Document