  In this paper, we analyze an economic model predictive control scheme with
terminal region and cost, where the system is optimally operated in a certain
subset of the state space. The predictive controller operates with a cyclic
horizon, which means that starting from an initial length, the horizon is
reduced by one at each time step before it is restored to its maximum length
again after one cycle. We give performance guarantees for the closed loop, and
under a suitable dissipativity condition, establish convergence to the optimal
subset. Moreover, we present conditions under which asymptotic stability of the
optimal subset can be guaranteed. The results are illustrated in a practical
example from the context of Networked Control Systems, which initially
motivated the development of the theory presented in this paper.
