Application of optimal control theory methods to build a strategy for socio-economic development of the Kemerovo region

The article is aimed to construct a mathematical model for the optimal distribution of budget expenditures to achieve sustainable socio-economic development of the regions, which is demonstrated on the example of the Kemerovo region. Methods of the theory of optimal discrete processes and regression analysis were used as methods for solving the task. In the course of the study, on the basis of statistical data for the Kemerovo region, equations were constructed for the dynamics of indicators for the socio-economic development of the region; the constraints on control parameters were determined, which were the shares of regional budget expenditures for eleven items; quality criteria were proposed in the economic, social and environmental spheres. Thus, a multiobjective optimal control problem with discrete time was formulated. As a result of its solution, a strategy for distributing shares of Kemerovo region budget expenditures for the period 2018-2022 was built. The obtained model distribution of expenses was compared with the actual data of the Ministry of Finance of Kuzbass in order to determine the items in which it is recommended to make adjustments.