In the present paper the dynamical difference input-output model is considered. The regional economy is simulated and analyzed based on the official data of Rosstat. A system of difference equations is constructed using aggregated data of Rosstat. We assume that the phase variables are annual outputs of three aggregated sectors and gross domestic product (GDP). Prediction of major economic indicators is produced. Predicted values of outputs and GDP are comparing with corresponding values that are predicted using the differential dynamical model. The main goal of the research is to develop an algorithm for solution finding in the optimization problem of macroeconomic trends. Main assumption is that the investment sources are external financial resources. This problem of optimal control for dynamical difference system is reduced to an interval problem of linear programming (IPLP) and finally solved using the adaptive method of R. Gabasov.
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