Memorias de investigación
Research Publications in journals:
Linear differential-algebraic equations with properly stated-leading term: A-critical points
Year:2007

Research Areas
  • Mathematics

Information
Abstract
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.
International
Si
JCR
Si
Title
MATH COMP MODEL DYN
ISBN
1387-3954
Impact factor JCR
0,359
Impact info
Volume
13
Journal number
3
From page
291
To page
314
Month
JUNIO
Ranking
Participants

Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a las Tecnologías de la Información