A geometric index reduction method for implicit systems of differential algebraic equations

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 diff...

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Detalles Bibliográficos
Autores principales:	Jeronimo, Gabriela Tali, Solerno, Pablo Luis
Publicado:	2011
Materias:	Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v46_n10_p1114_DAlfonso http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_07477171_v46_n10_p1114_DAlfonso
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spelling	paper:paper_07477171_v46_n10_p1114_DAlfonso2023-06-08T15:45:10Z A geometric index reduction method for implicit systems of differential algebraic equations Jeronimo, Gabriela Tali Solerno, Pablo Luis Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm 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. © 2011 Elsevier Ltd. Fil:Jeronimo, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solernó, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v46_n10_p1114_DAlfonso http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm
spellingShingle	Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm Jeronimo, Gabriela Tali Solerno, Pablo Luis A geometric index reduction method for implicit systems of differential algebraic equations
topic_facet	Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm
description	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. © 2011 Elsevier Ltd.
author	Jeronimo, Gabriela Tali Solerno, Pablo Luis
author_facet	Jeronimo, Gabriela Tali Solerno, Pablo Luis
author_sort	Jeronimo, Gabriela Tali
title	A geometric index reduction method for implicit systems of differential algebraic equations
title_short	A geometric index reduction method for implicit systems of differential algebraic equations
title_full	A geometric index reduction method for implicit systems of differential algebraic equations
title_fullStr	A geometric index reduction method for implicit systems of differential algebraic equations
title_full_unstemmed	A geometric index reduction method for implicit systems of differential algebraic equations
title_sort	geometric index reduction method for implicit systems of differential algebraic equations
publishDate	2011
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v46_n10_p1114_DAlfonso http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso
work_keys_str_mv	AT jeronimogabrielatali ageometricindexreductionmethodforimplicitsystemsofdifferentialalgebraicequations AT solernopabloluis ageometricindexreductionmethodforimplicitsystemsofdifferentialalgebraicequations AT jeronimogabrielatali geometricindexreductionmethodforimplicitsystemsofdifferentialalgebraicequations AT solernopabloluis geometricindexreductionmethodforimplicitsystemsofdifferentialalgebraicequations
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A geometric index reduction method for implicit systems of differential algebraic equations

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