MATHEMATICAL MODELS OF OBJECTS WITH DISTRIBUTED PARAMETERS WITH IMPULSE INPUT EFFECT

The peculiarity of the control theory is that it completely distracts (abstracts) from the purpose, physical nature and design features of the ACS and its constituent elements, and the study of processes and characteristics is carried out using abstract mathematical descriptions (models). The mathematical model of the ACS is a record of all those physical laws that govern changes in physical variables and phenomena in the system under study. Obtaining a mathematical model is one of the most important initial stages of research, immediately preceding the use of methods of analysis and synthesis. The article discusses the method of constructing a mathematical model of a cylindrical heating element. Three construction methods are presented: two grid methods of different dimensions and the method based on the Green function. On the basis of the experiment, we can conclude that the results obtained are identical, and as a result, there is no need to overload the mathematical apparatus with one of the methods.

Authors: Yu. V. Ilyushin , I. M. Novozhilov

Direction: Informatics, Computer Technologies And Control

Keywords: System analysis, management, distributed systems, absolute stability

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