Title :
Lyapunov equations and Riccati equations for descriptor systems
Author :
Zhang, Q.L. ; Dai, G.Z. ; Lam, J.
Author_Institution :
Dept. of Autom. Control, Northwestern Polytech. Univ., Xian, China
Abstract :
In this paper, two new types of Lyapunov and Riccati equations are presented for linear time-invariant descriptor systems. The two equations play key roles in asymptotic stability analysis and control synthesis for this class of systems. Fundamental properties of the two equations are investigated and interesting results are obtained
Keywords :
Lyapunov matrix equations; Riccati equations; asymptotic stability; control system analysis; control system synthesis; LTI systems; Lyapunov equations; Riccati equations; asymptotic stability analysis; control synthesis; linear time-invariant descriptor systems; Asymptotic stability; Automatic control; Contracts; Control system analysis; Control system synthesis; Lyapunov method; Mechanical engineering; Mechanical factors; Network synthesis; Riccati equations;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577457