Title :
On the Lyapunov theorem for descriptor systems
Author :
Ishihara, João Yoshiyuki ; Terra, Marco Henrique
Author_Institution :
Electr. Eng. Dept., Sao Paulo Univ., Brazil
Abstract :
We make some comments on the well known generalized Lyapunov theorem. We show that this theorem is not always valid. Some cases where the Lyapunov equation of this theorem can be used are clarified. We also present a corrected version of this theorem with a generalized Lyapunov equation similar to the original one
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability criteria; descriptor systems; eigenvalues; generalized Lyapunov theorem; impulse response; nonsingular matrix; observability; stability; Aircraft; Circuit stability; Controllability; Equations; Observability; Orbital robotics; Regulators; 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/.2001.980709
