  In this paper, it is shown that a simple formulation of Economic Model
Predictive Control can be used which possesses two features that are generally
viewed as mutually exclusive, namely, a rather short prediction horizon
(reachability-compatible) on one side, and the absence of final constraint on
the other side. The result holds for discrete-time models that are originated
from continuous-time models by means of discretization. Practical stability at
a small neighborhood of the optimal unknown steady-state pair is shown when
some parameters increase and sampling time decreases. A commonly used example
is given to illustrate the result.
