In this paper it is investigated what will be the set of reference trajectories that can be tracked when Minimum Variance control is used.
A necessary condition on the dynamic evaluation of a reference trajectory is deduced. For the case of a time-invariant system all the trackable reference trajectories are characterized exactly.
The effect of limiting the control possibilities on the ability to track a certain reference trajectory is also discussed. The analyzed system is assumed to be linear, finite dimensional and discrete-time.
The derived results are interpreted for economic systems.