RESEARCH OF DYNAMIC EQUATIONS OF INTERBRANCH BALANCE USING THE METHOD OF PERTURBATION THEORY

Abstract

The economic system covers the parameters and characteristics of social production, distribution, exchange and consumption of material goods. In the economic system, the choice and formation of both the structure and the way of functioning are management tasks that ensure the dynamics of socio-economic development. In the structure of the control system, one can distinguish: the control object – the direct device, unit, subsystem of the general system, in which the goal of the functioning of the entire system is realized; management system – management body (management entity), fixing the parameters of the control object and generating control actions on the control object; feedback is an object, a subsystem, with the help of which the control system acts on a managed object. These elements together form a closed control system. Economic management tasks are poorly structured and not always a model can be constructed unambiguously. This means that the goals of the functioning of many economic systems cannot always be clearly formulated. The task of managing such a system is to make the best decision for this system. One of the effective methods for studying economic dynamics in both theoretical and applied aspects are dynamic input-output models (models of interindustry balance). Mathematical dependencies between the value of capital investments and production growth is the basis for constructing various options for dynamic models of interbranch balance. A distinctive feature of the dynamic models of the interindustry balance is the allocation of industrial investments (investments) from the composition of the final product and the study of their impact on the growth of production volume. A nonlinear version of the Leontiev dynamic model is compiled and analyzed, the possibility of studying the dynamic equations of the interindustry balance in the event of disturbances in the elements of the direct material cost and investment matrices is considered. Based on the results of the study, conclusions are drawn about the influence of disturbances on the matrix of domestic investment and material costs.