  Irregular, especially chaotic, behavior is often undesirable for economic
processes because it presents challenges for predicting their dynamics. In this
situation, control of such a process by its mathematical model can be used to
suppress chaotic behavior and to transit the system from irregular to regular
dynamics.
  In this paper, we have constructed an overlapping generations model with a
control function. By applying evolutionary algorithms we showed that in the
absence of control, both regular and irregular behavior (periodic and chaotic)
could be observed in this model. We then used the synthesis of control by the
Pyragas control method with two control parameters to solve the problem of
controlling the irregular behavior of the model. We solved a number of
optimization problems applying evolutionary algorithms to select control
parameters in order to ensure stability of periodic orbits. We compared
qualitative and quantitative characteristics of the model's dynamics before and
after applying control and verified the results obtained using simulation.
  We thus demonstrated that artificial intelligence technologies (in
particular, evolutionary algorithms) combined with the Pyragas control method
are well suited for in-depth analysis and stabilization of irregular dynamics
in the model considered in this paper.
