Author(s) :
Peter Kunkel
,
Volker Mehrmann
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 719-2001
MSC 2000
- 65L05 Initial value problems
-
34H05 Control problems
Abstract :
In this paper a new index reduction technique is discussed for
the treatment of differential-algebraic systems for which
extra structural information is available. Based on this information
reduced derivative arrays are formed and instead of using expensive subspace
computations the index reduction is obtained by introducing new variables.
The new approach is demonstrated for several important classes
of differential-algebraic systems, where the structural information
is available. These include multibody systems and circuit simulation
problems.
The effectiveness of the new approach is demonstrated via numerical examples.
Keywords :
differential-algebraic equation,index reduction, minimal extension, circuit simulation, multibody system, strangeness index, regularization