QUASI-STATIC NEIGHBORHOOD SYSTEMS
In this paper, we define static and dynamic neighborhood systems in the language of metagraphs. The control of production process near a nominal mode is usually carried out on the assumption that this mode corresponds to a stationary point of a hypothetical global dynamic model, and therefore static neighborhood systems in this case are a convenient means of local modeling. A typical situation is that when there are several nominal modes and the transitions between them are carried out discretely or continuously depending on the input data. We consider the problem of integration of local static neighborhood systems (models) into a combined quasi-static system with coefficients that depend on the input data. Two versions of this integration are proposed: discrete and continuous. Both are based on the clustering of the input data of the neighborhood system. In the discrete version, the choice of the local model is determined by the cluster center. In the continuous version, linear combinations of local models are used with weights forming the partition of unity associated with clustering. As an example of the application, the problem of integration of local neighborhood models for the stage of diffusion of sugar production, obtained by the parametric identification based on a sample of production data of JSC «Avrora», Borinsky Sugar Plant, is considered.