Without an order from the commander, no one must dare to bring hay, matting, straw, or other such flammable items onto the ship, under penalty of a fine, officers subject to deduction of a month's salary, and enlisted men to be punished by flogging at the mast.
Source: tatoeba (10544479)
His departure oppressed me with melancholy, and, re-entering the dwelling, I threw myself almost in despair upon the matting of the floor.
Source: wiktionary
The doorways had a transverse mat well with a 1½in thick floor mat. In service it was discovered that the matting absorbed moisture which eventually resulted in corrosion of the steel.
Source: wiktionary
... the sails are of Matting and are made narrow at the head and Square at the foot,...
Besides Cloth they [Tahitians] make several different sorts of matting, both better and finer than any we have in Europe; the stuff they make it on is the Produce of the Palm tree.
Source: wiktionary