Synthesis of adequate algebraic mathematical models

Abstract

The algorithm for parameter identification of adequate mathematical model in alge­braic form is examinated. The definition of an adequate mathematical model in alge­braic form is given. In article the several formulations of the problems of identification depending on the ultimate goals of the study is proposed. As an example, the problem of identifying the parameters of algebraic adequate mathematical model of condition­ally stable process of steelmaking is considered. The results can be used to analyze the influence of the physical parameters to the physical process.

Keywords

• алгебраические математические модели
• адекватные модели
• идентификация параметров
• регуляризация
• модель процесса выплавки стали