This paper studies the problem of H-2 norm checking for a MIMO system with
parameter uncertainties. Under the assumptions that the coefficients of the
numerator polynomial of the system's transfer function are multi-affine fu
nctions of the uncertain parameter that varies in a convex polytope, and th
at the coefficients of the denominator polynomial of the system's transfer
function are affine functions of the uncertain parameter which varies in a
convex polytope, a vertex checking result is obtained.