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

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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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Autores principales:	D'Alfonso, L., Jeronimo, G., Ollivier, F., Sedoglavic, A., Solernó, P.
Formato:	JOUR
Materias:	Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm
Acceso en línea:	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

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spelling	todo:paper_07477171_v46_n10_p1114_DAlfonso2023-10-03T15:38:58Z A geometric index reduction method for implicit systems of differential algebraic equations D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P. 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.
format	JOUR
author	D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P.
author_facet	D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P.
author_sort	D'Alfonso, L.
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
url	http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso
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_version_	1807322765978501120

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

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