  Let X be a smooth algebraic curve of genus g>=2. A stable vector bundle over
X of degree d, rank n with at least k sections is called a Brill-Noether bundle
of type (n,d,k). By tensoring coherent systems, we prove that most of the known
Brill-Noether bundles define coherent systems of type (n,d,k) that are
alpha-stables for all allowable alpha .
