Methods for researching the sustainability of production processes when implementing a cyber-physical system

The article presents an analysis of the methods and criteria for assessing sustainability and the development of stabilization systems, proposed in the theory of automatic control, and studies of approaches to ensuring sustainability, proposed and applied in the practice of controlling production processes. It is proposed to develop models when introducing a cyber-physical system of a production enterprise, combining the ideas of stabilization systems developed in the theory of automatic control, and methods of the theory and practice of managing production processes, while controlling the sustainability based on the laws and methods of systems theory and system analysis.