Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations
The numerical method of parametrical identification of the mathematical model in the form of fraction-rational functional dependencies is considered. The method is based on iteration procedure for mean-square estimation of coefficients of linear parametric discrete models in the form of stochastic di...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20843/17102 |
| _version_ | 1818061020303720448 |
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| author | Vladimir E Zoteev Mariya A Romanyuk |
| author_facet | Vladimir E Zoteev Mariya A Romanyuk |
| author_sort | Vladimir E Zoteev |
| collection | DOAJ |
| description | The numerical method of parametrical identification of the mathematical model in the form of fraction-rational functional dependencies is considered. The method is based on iteration procedure for mean-square estimation of coefficients of linear parametric discrete models in the form of stochastic difference equations. Such an approach to solving the problem of identification of the fraction-rational functional dependencies can ensure a high adequacy of the models, and as a consequence, achieve high accuracy of estimating of the models parameters. |
| first_indexed | 2024-12-10T13:41:40Z |
| format | Article |
| id | doaj.art-cc8cc5ae416544fdab87eec016798350 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:41:40Z |
| publishDate | 2012-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-cc8cc5ae416544fdab87eec0167983502022-12-22T01:46:39ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-0116310211318260Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equationsVladimir E Zoteev0Mariya A Romanyuk1Samara State Technical UniversitySamara State Technical UniversityThe numerical method of parametrical identification of the mathematical model in the form of fraction-rational functional dependencies is considered. The method is based on iteration procedure for mean-square estimation of coefficients of linear parametric discrete models in the form of stochastic difference equations. Such an approach to solving the problem of identification of the fraction-rational functional dependencies can ensure a high adequacy of the models, and as a consequence, achieve high accuracy of estimating of the models parameters.https://journals.eco-vector.com/1991-8615/article/viewFile/20843/17102parametrical identificationdifference equationsiterative processmeansquare approximationfraction-rational functional dependence |
| spellingShingle | Vladimir E Zoteev Mariya A Romanyuk Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki parametrical identification difference equations iterative process meansquare approximation fraction-rational functional dependence |
| title | Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations |
| title_full | Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations |
| title_fullStr | Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations |
| title_full_unstemmed | Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations |
| title_short | Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations |
| title_sort | parametrical identification of the mathematical model in the form of fraction rational dependencies on the basis of difference equations |
| topic | parametrical identification difference equations iterative process meansquare approximation fraction-rational functional dependence |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20843/17102 |
| work_keys_str_mv | AT vladimirezoteev parametricalidentificationofthemathematicalmodelintheformoffractionrationaldependenciesonthebasisofdifferenceequations AT mariyaaromanyuk parametricalidentificationofthemathematicalmodelintheformoffractionrationaldependenciesonthebasisofdifferenceequations |