ELA, Volume 13, pp. 359-386, November 2005, abstract.
Characterization of Classes of Singular Linear
Differential-Algebraic Equations
Peter Kunkel and Volker Mehrmann
Linear, possibly over- or underdetermined, differential
-algebraic equations are studied that have the same
solution behavior as linear differential-algebraic
equations with well-defined strangeness index. In
particular, three different characterizations are given
for differential-algebraic equations, namely by means
of solution spaces, canonical forms, and derivative arrays.
Two levels of generalization are distinguished, where the
more restrictive case contains an additional assumption
on the structure of the set of consistent inhomogeneities.