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
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;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912836
