  We show that oscillation death as a specific type of oscillation suppression,
which implies symmetry breaking, can be controlled by introducing time-delayed
coupling. In particular, we demonstrate that time delay influences the
stability of an inhomogeneous steady state, providing the opportunity to
modulate the threshold for oscillation death. Additionally, we find a novel
type of oscillation death representing a secondary bifurcation of an
inhomogeneous steady state.
