Correctness of the synthesis problem of the adequate algebraic mathematical models

Abstract

The problems of the synthesis of an adequate algebraic mathematical models and his further use are considered. The properties of real processes for which you can build mathematical algebraic model were investigated. Some qualities of these models were formulated. A parameter identication algorithm for these models was suggested. For obtaining stable results of identication used method of regularization. Various statements of such problems were considered. The calculation of adequate local linear mathematical model of the process of steel smelting is executed as example.

Keywords

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