Title | A geometric index reduction method for implicit systems of differential algebraic equations |
Author(s) | L. , Gabriela Jeronimo, Francois Ollivier, A. Sedoglavic, P. |
Type | Article in Journal |
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 (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. |
Keywords | Implicit systems of Differential Algebraic Equations, Index, Kronecker algorithm, Geometric resolution |
ISSN | 0747-7171 |
URL |
http://www.sciencedirect.com/science/article/pii/S0747717111000836 |
Language | English |
Journal | Journal of Symbolic Computation |
Volume | 46 |
Number | 10 |
Pages | 1114 - 1138 |
Year | 2011 |
Edition | 0 |
Translation |
No |
Refereed |
No |