Correctness of the synthesis problem of the adequate algebraic mathematical models

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 f...

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Main Author: Yu. L. Menshikov
Format: Article
Language:English
Published: DNU 2016-04-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ
Subjects:
Online Access:http://model-dnu.dp.ua/index.php/SM/article/view/106
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author Yu. L. Menshikov
author_facet Yu. L. Menshikov
author_sort Yu. L. Menshikov
collection DOAJ
description 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.
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spelling doaj.art-9b92a5893eac49aa9a0fc2f0299218372022-12-21T19:16:40ZengDNUVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ2312-45472415-73252016-04-0124823024010.15421/141612105Correctness of the synthesis problem of the adequate algebraic mathematical modelsYu. L. Menshikov0Днепропетровский национальный университет имени Олеся ГончараThe 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.http://model-dnu.dp.ua/index.php/SM/article/view/106алгебраические математические моделиадекватные моделиидентификация параметроврегуляризациямодель процесса выплавки стали
spellingShingle Yu. L. Menshikov
Correctness of the synthesis problem of the adequate algebraic mathematical models
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ
алгебраические математические модели
адекватные модели
идентификация параметров
регуляризация
модель процесса выплавки стали
title Correctness of the synthesis problem of the adequate algebraic mathematical models
title_full Correctness of the synthesis problem of the adequate algebraic mathematical models
title_fullStr Correctness of the synthesis problem of the adequate algebraic mathematical models
title_full_unstemmed Correctness of the synthesis problem of the adequate algebraic mathematical models
title_short Correctness of the synthesis problem of the adequate algebraic mathematical models
title_sort correctness of the synthesis problem of the adequate algebraic mathematical models
topic алгебраические математические модели
адекватные модели
идентификация параметров
регуляризация
модель процесса выплавки стали
url http://model-dnu.dp.ua/index.php/SM/article/view/106
work_keys_str_mv AT yulmenshikov correctnessofthesynthesisproblemoftheadequatealgebraicmathematicalmodels