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Article Dans Une Revue Journal of Symbolic Computation Année : 2011

A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations

Résumé

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.

Dates et versions

hal-00512704 , version 1 (31-08-2010)

Identifiants

Citer

Lisi d'Alfonso, Gabriella Jeronimo, François Ollivier, Alexandre Sedoglavic, Pablo Solernó. A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations. Journal of Symbolic Computation, 2011, 46 (10), pp.1114-1138. ⟨10.1016/j.jsc.2011.05.012⟩. ⟨hal-00512704⟩
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