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TitleA geometric index reduction method for implicit systems of differential algebraic equations
Author(s) L. , Gabriela Jeronimo, Francois Ollivier, A. Sedoglavic, P.
TypeArticle in Journal
AbstractThis 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 (a differential Kronecker representation) 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.
KeywordsImplicit systems of Differential Algebraic Equations, Index, Kronecker algorithm, Geometric resolution
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717111000836
LanguageEnglish
JournalJournal of Symbolic Computation
Volume46
Number10
Pages1114 - 1138
Year2011
Edition0
Translation No
Refereed No
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