Author(s) :
Tatjana Stykel
Preprint series :
Preprint SFB393/ 00-38, Fakultät für Mathematik, TU Chemnitz, D-09107 Chemnitz, Germany, October, 2000.
MSC 2000
- 15A24 Matrix equations and identities
-
15A22 Matrix pencils
Abstract :
We study generalized Lyapunov equations and present generalizations of
Lyapunov stability theorems and some matrix inertia theorems for matrix pencils.
We discuss applications of generalized Lyapunov equations with special
right-hand sides in stability theory and control problems for descriptor systems.
Keywords :
generalized Lyapunov equations, inertia, descriptor systems, stability, controllability and observability Gramians