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An overall transfer matrix is said to be implementable for a given plant if the resulting system uses only proper compensators, has all forward paths passing through the plant, is well posed, and totally stable. A necessary condition for an overall transfer matrix to be implementable is established. The sufficiency of the condition is established by constructing several implementations. The open-loop, unity-feedback, two-input one-output compensator and plant input-output feedback configurations are used. The implementations either extend or improve the existing results.