A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations
Classical Analysis and ODEs
2010-08-31 v1 Symbolic Computation
Abstract
This paper deals with the index reduction problem for the class of quasi-regular DAE systems. It is shown that any of these systems can be transformed to a generically equivalent first order DAE system consisting of a single purely algebraic (polynomial) equation plus an under-determined ODE (that is, a semi-explicit DAE system of differentiation index 1) in as many variables as the order of the input system. This can be done by means of a Kronecker-type algorithm with bounded complexity.
Cite
@article{arxiv.1008.5080,
title = {A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations},
author = {Lisi D'Alfonso and Gabriella Jeronimo and François Ollivier and Alexandre Sedoglavic and Pablo Solernó},
journal= {arXiv preprint arXiv:1008.5080},
year = {2010}
}