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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| Autores principales: | , , , , |
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| Formato: | Artículo publishedVersion |
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2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v46_n10_p1114_DAlfonso_oai |
| Aporte de: |
| Sumario: | 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. |
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