The invention relates to a method for operating a hot rolling train (1) for rolling hot-rolled strip, to a control device for carrying out the method, and to a hot rolling mill (1) for rolling hot-rolled strip (B), comprising a cooling section (4) for cooling the hot-rolled strip (B). By installing at least one strip driving device (7, 8, 9), by means of which a tensile stress of the hot-rolled strip (B) can be adjusted, in the mass flow direction after the start of the cooling section (4) and in the mass flow direction before the end of the cooling section (4), a hot rolling mill can be provided by means of which the quality of the hot-rolled strip that is produced can be improved.
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