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In this paper, achievable performance bounds in the linear control of stable MIMO linear discrete time systems are derived. The cost function to be minimized is the 2 - norm of the tracking error for a vector step reference, under the constraint that the closed loop poles lie in a prescribed region. The computation of the performance limitation requires the factorization of the plant model using interactors, which capture the finite and infinite non-minimum phase zeros, and their associated directions. The controller achieving the optimal bound is also computed.