|
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
|
|