Abstract
Demanded by the formation of the knowledge economy and the digitalization of its industrial sphere, the development of science-intensive industries requires the analytical design of the regulator and economic and mathematical modeling of dynamic processes of saturation of the market segment with innovative industrial products. In this context, two tasks are being formalized: the first is the regulation of the reserve of these products in order to stabilize it in conjunction with the indicators of the rate of change in the volume of its production and demand for it, and the second is the analytical design of the optimal regulator of the reserve of innovative products with the achievement of a minimum of its content and losses arising from due to the shortage of this product with an increased demand for it, with the proof of the asymptotic stability in general of the obtained solutions of both problems. The construction of corresponding models deepens the understanding of investment and innovation processes and equips analytical tools for adaptive management of the efficiency and stability of industrial enterprises in a turbulent economic environment.
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