Nienova, D.Romashov, Y.2024-06-032024-06-032022Nienova D. Approaches to Functional Dependencies Representation for Industrial Automation Systems Mathematical Support / D. Nienova, Y. Romashov // Виробництво & Мехатронні Системи 2022 : тези доповідей VI-ої Міжнародної конференції, 21-22 жовтня 2022 р. – Харків, 2022. – С. 110–114.https://openarchive.nure.ua/handle/document/26801The generalized approaches to representation of functional dependencies used in mathematical maintenance of the technological processes automation systems are proposed in this research. The principal idea of these approaches is in using the functional dependencies discrete form including the nodal values of a function corresponded to the primarily chosen nodes of the argument variable, and the linear interpolation is proposed to compute the required values of the represented function. These principal ideas allow us to have the generalized uniform approaches to representation of different functional dependencies used in mathematical maintenance of automated systems. The main difficulties in using of the functional dependencies discrete form are in not existing required data required to have this discrete form, and it is proposed to use the cubic spline interpolation for correct transformation of the primarily existing not full data to the data set providing the reliability of the linear interpolation. The shown example of using of the proposed approaches deals with estimating the temperature fields in the pellets of the ceramic nuclear fuel used taking into account the temperature dependences of its heat conductivity.enmathematical supportfunctional dependencelinear interpolationcubic splinesheat conductivitynuclear fuelThesis