Abstract
The article developed an algorithm for calculating the coefficient of the impact of innovations on the growth rate of the final product. This mathematical apparatus is a tool for adequate adjustment of the economic system, taking into account the potential of its innovative development. Next, the problem of predicting the regional final product is solved using the Cobb-Douglas(innovation) model. In the calculations, the values of the parameters are determined by the Gradient method. The result obtained indicates the adequacy of the approach used. In addition, the assumptions and hypotheses put forward in the study create prerequisites for further expanding the amount of knowledge in the field of studying the innovative impact on the economy. The practical significance of the proposed models of innovative development of economic systems lies in the emergence of new opportunities for building the innovation policy of the state. Keywords: innovation activity, fuzzy model, Gradient method, innovation index
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