<div>This paper investigates the decay rates of continuous-time singular
systems with unbounded delays. By introducing an auxiliary system for
the original system, the positivity and asymptotic stability conditions
of the system are investigated first. Then, <i>µ</i>-stability criteria,
which are applied to characterize the decay rates of the systems, are
proposed, and the relation between the system matrices and
<i>µ</i>-stability is studied. Those results include the stability of
positive singular systems with bounded time-varying delays and
time-varying delays with linear growth rate as special cases. Finally, a
numerical example is given to illustrate the obtained theoretical
results.</div>