Author(s) :
Peter Kunkel
,
Volker Mehrmann
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 05-2017
MSC 2000
- 34K34 Hybrid systems
-
34K28 Numerical approximation of solutions
-
65L80 Methods for differential-algebraic equations
Abstract :
The solvability and regularity of hybrid differential-algebraic systems (DAEs) is studied, and classical stability estimates are extended to hybrid DAE systems. Different reasons for non-regularity are discussed and appropriate regularization techniques are presented. This includes a generalization of Filippov regularization in the case of so-called chattering. The results are illustrated by several numerical examples.
Keywords :
differential-algebraic equation, hybrid system, switched system, index reduction, existence and uniqueness of solutions, Filippov regularization, strangeness index, chattering