René Lamour, Roswitha März and Renate Winkler
Stability of periodic solutions of index-2 differential algebraic systems
Preprint series: Fachbereich Mathematik der Humboldt-Universität

MSC:

 34D20 Lyapunov stability

34A09 Implicit equations

Abstract: This paper deals with periodic index-2 differential algebraic
equations and the question whether a periodic solution is stable in the
sense of Lyapunov. As the main result, a stability criterion is
proved.This criterion is formulated in terms of the original data so
that it may be used in practical computations.
Keywords: index-2 differential algebraic equation, periodic solution, Lyapunov-stability, Floquet-theory