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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Format: | Article |
Language: | English |
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DNU
2016-04-01
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Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ |
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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. |
first_indexed | 2024-12-21T04:02:58Z |
format | Article |
id | doaj.art-9b92a5893eac49aa9a0fc2f029921837 |
institution | Directory Open Access Journal |
issn | 2312-4547 2415-7325 |
language | English |
last_indexed | 2024-12-21T04:02:58Z |
publishDate | 2016-04-01 |
publisher | DNU |
record_format | Article |
series | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ |
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 |