  Previous work has shown that Benjamin-Feir unstable traveling waves of the
complex Ginzburg-Landau equation (CGLE) in two spatial dimensions cannot be
stabilized using a particular time-delayed feedback control mechanism known as
`time-delay autosynchronisation'. In this paper, we show that the addition of
similar spatial feedback terms can be used to stabilize such waves. This type
of feedback is a generalization of the time-delay method of Pyragus (Phys.
Letts. A 170, 1992) and has been previously used to stabilize waves in the
one-dimensional CGLE by Montgomery and Silber (Nonlinearity 17, 2004). We
consider two cases in which the feedback contains either one or two spatial
terms. We focus on how the spatial terms may be chosen to select the direction
of travel of the plane waves. Numerical linear stability calculations
demonstrate the results of our analysis.
