On reconstructing unknown characteristics of a nonlinear system of differential equations
Problems of dynamical reconstruction of unknown characteristics for nonlinear equations described the process of diffusion of innovations through results of observations of phase states are considered. Solving algorithms, which are stable with respect to informational noises and computational errors...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2015-06-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/acsc.2015.25.issue-2/acsc-2015-0010/acsc-2015-0010.xml?format=INT |
| _version_ | 1823925717156495360 |
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| author | Kuklin Alexander Maksimov Vyacheslav Nikulina Natalia |
| author_facet | Kuklin Alexander Maksimov Vyacheslav Nikulina Natalia |
| author_sort | Kuklin Alexander |
| collection | DOAJ |
| description | Problems of dynamical reconstruction of unknown characteristics for nonlinear equations described the process of diffusion of innovations through results of observations of phase states are considered. Solving algorithms, which are stable with respect to informational noises and computational errors, are designed. The algorithms are based on the principle of auxiliary models with adaptive controls. |
| first_indexed | 2024-12-16T20:13:22Z |
| format | Article |
| id | doaj.art-3bf023bbafa449188a5694d83f4451e6 |
| institution | Directory Open Access Journal |
| issn | 2300-2611 |
| language | English |
| last_indexed | 2024-12-16T20:13:22Z |
| publishDate | 2015-06-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-3bf023bbafa449188a5694d83f4451e62022-12-21T22:18:04ZengPolish Academy of SciencesArchives of Control Sciences2300-26112015-06-0125216317610.1515/acsc-2015-0010acsc-2015-0010On reconstructing unknown characteristics of a nonlinear system of differential equationsKuklin Alexander0Maksimov Vyacheslav1Nikulina Natalia2Institute of Economics of UD RAS, Ekaterinburg, 620014, Russia.Ural Federal University and Institute of Mathematics and Mechanics of UD RAS, Ekaterinburg, 620990, Russia.Institute of Economics of UD RAS, Ekaterinburg, 620014, Russia.Problems of dynamical reconstruction of unknown characteristics for nonlinear equations described the process of diffusion of innovations through results of observations of phase states are considered. Solving algorithms, which are stable with respect to informational noises and computational errors, are designed. The algorithms are based on the principle of auxiliary models with adaptive controls.http://www.degruyter.com/view/j/acsc.2015.25.issue-2/acsc-2015-0010/acsc-2015-0010.xml?format=INTnonlinear differential equationsdynamical reconstruction |
| spellingShingle | Kuklin Alexander Maksimov Vyacheslav Nikulina Natalia On reconstructing unknown characteristics of a nonlinear system of differential equations Archives of Control Sciences nonlinear differential equations dynamical reconstruction |
| title | On reconstructing unknown characteristics of a nonlinear system of differential equations |
| title_full | On reconstructing unknown characteristics of a nonlinear system of differential equations |
| title_fullStr | On reconstructing unknown characteristics of a nonlinear system of differential equations |
| title_full_unstemmed | On reconstructing unknown characteristics of a nonlinear system of differential equations |
| title_short | On reconstructing unknown characteristics of a nonlinear system of differential equations |
| title_sort | on reconstructing unknown characteristics of a nonlinear system of differential equations |
| topic | nonlinear differential equations dynamical reconstruction |
| url | http://www.degruyter.com/view/j/acsc.2015.25.issue-2/acsc-2015-0010/acsc-2015-0010.xml?format=INT |
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