The stabilisers fix the table to the wall, by introducing a stiff structure in the corner of the table top and the leg; which can be attached to the wall using screws. 

Note that the distance to the wall and your table may vary with mine, so the depth of the stabiliser must be adjusted manually to your wishes. This can be done at boss-extrude1. (I don't know if I'm able to upload an easy parametric file onto MakerWorld?)