Identification of nonlinear systems with periodic external actions (Part I)
The problem of identifying nonlinear systems with periodic external actions is considered in the article. The number of such actions in the system is not limited, and these actions can be either additive or multiplicative. We use a time series of observed system variables to calculate unknown equati...
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| Format: | Article |
| Language: | Ukrainian |
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Igor Sikorsky Kyiv Polytechnic Institute
2024-09-01
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| Series: | Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï |
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| Online Access: | http://journal.iasa.kpi.ua/article/view/315266 |
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| _version_ | 1846114489605292032 |
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| author | Віктор Городецький |
| author_facet | Віктор Городецький |
| author_sort | Віктор Городецький |
| collection | DOAJ |
| description | The problem of identifying nonlinear systems with periodic external actions is considered in the article. The number of such actions in the system is not limited, and these actions can be either additive or multiplicative. We use a time series of observed system variables to calculate unknown equation coefficients. The proven theorem allows us to separate the unknown coefficients of the system into variables and constants. The proposed computational procedure allows us to avoid possible errors caused by the discrete nature of observable time series. Identification of zero coefficients is carried out in two ways, eliminating erroneous zeroing of the terms of the equations. The method is illustrated with a numerical example of identifying a chaotic system with periodic external actions. |
| format | Article |
| id | doaj-art-f8e52b1026ee4bdfad6e8a4dcfc52395 |
| institution | Kabale University |
| issn | 1681-6048 2308-8893 |
| language | Ukrainian |
| publishDate | 2024-09-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï |
| spelling | doaj-art-f8e52b1026ee4bdfad6e8a4dcfc523952024-12-20T12:28:57ZukrIgor Sikorsky Kyiv Polytechnic InstituteSistemnì Doslìdženâ ta Informacìjnì Tehnologìï1681-60482308-88932024-09-0139310610.20535/SRIT.2308-8893.2024.3.06353826Identification of nonlinear systems with periodic external actions (Part I)Віктор Городецький0https://orcid.org/0000-0003-4642-3060National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", KyivThe problem of identifying nonlinear systems with periodic external actions is considered in the article. The number of such actions in the system is not limited, and these actions can be either additive or multiplicative. We use a time series of observed system variables to calculate unknown equation coefficients. The proven theorem allows us to separate the unknown coefficients of the system into variables and constants. The proposed computational procedure allows us to avoid possible errors caused by the discrete nature of observable time series. Identification of zero coefficients is carried out in two ways, eliminating erroneous zeroing of the terms of the equations. The method is illustrated with a numerical example of identifying a chaotic system with periodic external actions.http://journal.iasa.kpi.ua/article/view/315266identificationordinary differential equationexternal actionperiodic coefficientconstant coefficient |
| spellingShingle | Віктор Городецький Identification of nonlinear systems with periodic external actions (Part I) Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï identification ordinary differential equation external action periodic coefficient constant coefficient |
| title | Identification of nonlinear systems with periodic external actions (Part I) |
| title_full | Identification of nonlinear systems with periodic external actions (Part I) |
| title_fullStr | Identification of nonlinear systems with periodic external actions (Part I) |
| title_full_unstemmed | Identification of nonlinear systems with periodic external actions (Part I) |
| title_short | Identification of nonlinear systems with periodic external actions (Part I) |
| title_sort | identification of nonlinear systems with periodic external actions part i |
| topic | identification ordinary differential equation external action periodic coefficient constant coefficient |
| url | http://journal.iasa.kpi.ua/article/view/315266 |
| work_keys_str_mv | AT víktorgorodecʹkij identificationofnonlinearsystemswithperiodicexternalactionsparti |