Entropy and information paradigms in conceptualizing the management of the effect and stability of the industrial system

Aim. The work aimed to conceptualize the industrial system management through involvement of entropy-information paradigms of fundamental sciences to maintain the necessary levels of order, effect, stability of this system and perfection of management (according to V. A. Trapez nikov) of its activity. Objectives. The work seeks to interpret the attributes of orderliness, effect and stability of functioning of the industrial systems in disturbed environments in the context of classical ideas about entropy, uncertainty, order, and chaos of system behavior; introduce a mathematical measure of negentropy (negative entropy) of an industrial system behavior as a determinant (along with a measure of order) of the effect of its functioning and the level of the system management perfection. It also seeks to disseminate entropy and information paradigms to the algorithmization of adaptive identification and correction of the parameters of the industrial system model in a disturbed economic space. Methods. The views and principles of thermodynamics, statistical mechanics, nonlinear dynamics, cybernetics, catastrophe theories, information, organization, economics and enterprise management were used as the study methodological framework. Results. The information determinants of the effect and stability of industrial systems in a disturbed environment were determined and formalized. Nonlinear features and stability of the industrial system were characterized, an expression was found to assess the effect of its operation based on measures of order and negentropy of this system behavior. A search and discussion of the mathematical relationship between negentropy, the amount of control information in the industrial system and the level of its management perfection were conducted. The work presents a brief interpretation of the concept of algorithmization of adaptive identification and correction of the industrial system model parameters in accordance with the entropy-information paradigm. Conclusions. The study reveals the aspects of information determination of the indicators of the effect and functioning stability of the industrial systems in a disturbed economic environment. The nonlinear dependence of the effect achieved by the industrial system on the measure of the order of its behavior and the initial negentropy of the system is substantiated. The mathematical relationship between negentropy, the amount of control information in the industrial system and the level of perfection of its management is determined. The study results yield new insights into entropy-information processes in the problem of conceptualizing adaptive control, identifying and correcting the industrial system model parameters in the space of destructive and innovative disturbances.