  The propagation of primary discontinuities in initial value problems for
linear delay differential-algebraic equations (DDAEs) is discussed. Based on
the (quasi-) Weierstra{\ss} form for regular matrix pencil, a complete
characterization of the different propagation types is given and algebraic
criteria in terms of the matrices are developed. The analysis, which is based
on the method of steps, takes into account all possible inhomogeneities and
history functions and thus serves as the worst-case scenario. Moreover, it
reveals possible hidden delays in the DDAE. The new classification for DDAEs is
compared to existing approaches in the literature and the impact of splicing
conditions on the classification is studied.

Dynamical Systems