Title :
Generalized Lyapunov theorems for rectangular descriptor systems
Author :
Ishihara, João Yoshiyuki ; Terra, Marco Henrique
Author_Institution :
Electr. Eng. Dept., Sao Paulo Univ., Brazil
Abstract :
We extend the stability analysis with generalized Lyapunov equations to general descriptor systems. With mild conditions, the existence of solutions of these equations are necessary and sufficient for column regularity and stability
Keywords :
Lyapunov methods; linear systems; matrix algebra; stability; time-varying systems; Lyapunov method; continuous time system; matrix inequality; necessary condition; rectangular descriptor systems; stability; sufficient condition; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Stability analysis; State-space methods;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980708
