Author(s) :
Tatjana Stykel
The paper is published :
Z. Angew. Math. Mech., 82(3), 2002, pp. 147-158
MSC 2000
- 34D20 Lyapunov stability
-
65F15 Eigenvalues, eigenvectors
Abstract :
This paper discusses Lyapunov stability of the trivial solution of linear
differential-algebraic equations. As a criterion for the asymptotic
stability we propose numerical parameters characterizing
the property of a regular matrix pencil $\lambda A - B$ to have all finite
eigenvalues in the open left half-plane. Numerical aspects for computing these
parameters are discussed.
Keywords :
differential-algebraic equations, asymptotic stability, Lyapunov equation, matrix pencils, deflating subspaces, spectral projections