Author(s) :
Tatjana Stykel
Preprint series :
Preprint Nr. 98-6, Institut für Mathematik, HU Berlin, D-10099 Berlin, Germany, 1998.
MSC 2000
- 34D20 Lyapunov stability
-
65F15 Eigenvalues, eigenvectors
Abstract :
This paper considers the index-1 tractable differential-algebraic
equation. The Lyapunov stability of the trivial solution is discussed.
As a criterion of the asymptotical stability we propose a numerical
parameter $\mbox{\sl\ae}(A,B)$ characterizing the property of the
index-1 matrix pencil $\{A, B\}$ to have all finite eigenvalues within
the negative complex half-plane. An algorithm for computing this parameter
is described.
Keywords :
differential-algebraic equation, Lyapunov stability, matrix pencils