We report on a theoretical analysis of the dynamical performance of a semic
onductor laser under the influence of delayed weak filtered external optica
l feedback. The filter widths considered range from 1 to 100 GHz. The analy
sis concentrates on the well-known low-frequency fluctuations (LFF's) regim
e, in which LFF's occur in the absence of filtering. As expected, filtering
the feedback light stabilizes the system in general. LFF can already be su
ppressed for moderately broad filters (25-50 GHz). In that case, the system
was found to operate on the maximum gain mode with a small amplitude limit
cycle. We show how the filtering can, in principle, be used for targeting
the laser on the maximum gain mode.