Abstract



Timedomain models of dynamical systems are formulated in many applications in terms of differentialalgebraic equations (DAEs). In the linear timevarying 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 inputoutput 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 timevarying 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

13873954 
Impact factor JCR

0,359 
Impact info


Volume

13 


Journal number

3 
From page

291 
To page

314 
Month

JUNIO 
Ranking
