The definition of the growth limit of an economic system uses a formalized measure of the effectiveness of structural innovation within the technology core model, as well as mathematical methods of its analysis. The basis of the developed model is the cross-sectoral balance of the system of national accounting. The analysis of the model consists in calculating the preferred structure of the technological core and determining the limits of productivity and growth of the multi-sector model of the economy. The practical realization of the received results should be linked to the selection of priority areas for the development of the technological core and to the formulation of strategic paths for the development of the economy.