  It has been observed in several recent works that, for some classes of linear
time-delay systems, spectral values of maximal multiplicity are dominant, a
property known as multiplicity-induced-dominancy (MID). This paper starts the
investigation of whether MID holds for delay differential-algebraic systems by
considering a single-delay system composed of two scalar equations. After
motivating this problem and recalling some recent results for retarded delay
differential equations, we prove that the MID property holds for the delay
differential-algebraic system of interest and present some applications.
