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Memorias de investigación
Artículos en revistas:
Linear differential-algebraic equations with properly stated-leading term: A-critical points
Año:2007
Áreas de investigación
  • Matemáticas
Datos
Descripción
Time-domain models of dynamical systems are formulated in many applications in terms of differential-algebraic equations (DAEs). In the linear time-varying context, certain limitations of models of the form E(t)x'(t)+B(t)x(t)=q(t) have recently led to the properly stated formulation A(t)(D(t)x(t))'+B(t)x(t)=q(t), which allows for explicit descriptions of problem solutions in regular DAEs with arbitrary index, and provides precise functional input-output characterizations of the system. In this context, the present paper addresses critical points of linear DAEs with properly stated leading term; such critical points describe different types of singularities in the system. Critical points are classified according to a taxonomy which reflects the phenom enon from which the singularity stems; this taxonomy is proved independent of projectors and also invariant under linear time-varying coordinate changes and refactorizations. The analysis of such critical problems can be carried out through a scalarly implicit decoupling.
Internacional
Si
JCR del ISI
Si
Título de la revista
MATH COMP MODEL DYN
ISSN
1387-3954
Factor de impacto JCR
0,359
Información de impacto
Volumen
13
DOI
Número de revista
3
Desde la página
291
Hasta la página
314
Mes
JUNIO
Ranking
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Participantes
  • Autor: Roswitha März (Humboldt University, Berlin)
  • Autor: Ricardo Riaza Rodriguez (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a las Tecnologías de la Información
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