Digital Activation and Statistical Modeling of Effective Innovative Working of Industrial System

Against the background of digital activation, the analytics of the effective functioning of the industrial system in the information and intellectual environment is based on the statistical concept of V.A. Trapeznikov on the dependence of the effect of the functioning of the controlled complex on the amount of control information entered into it and the logistic equation (the Verhulst and Redenour models). The state and prospects of digital transformation and maturity of Russian enterprises are revealed. The conclusions of the analysis of the logistic model presented in the article expand the understanding of the patterns of the dynamics of the effect of the industrial system, its entropic features and limiting conditions of behavior. The results of the study obtained in the course of the symbiosis of views and methods of natural-scientific and economic teachings find application in the adaptive management of industrial systems in the space of increasing disturbances.