Averaging of boundary-value problems of control over a standard system with delay
For the terminal problem of optimal control over systems of standard form with constant delay, according to the Pontryagin maximum principle, we study a boundary-value problem with deviating arguments with delay and anticipation. We justify an averaging method for an asymptotic solution of the bound...
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| Datum: | 1996 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5319 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511539719569408 |
|---|---|
| author | Efendiev, V. V. Zheltikov, V. P. Эфендиев, В. В. Желтиков, В. П. Эфендиев, В. В. Желтиков, В. П. |
| author_facet | Efendiev, V. V. Zheltikov, V. P. Эфендиев, В. В. Желтиков, В. П. Эфендиев, В. В. Желтиков, В. П. |
| author_sort | Efendiev, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:10Z |
| description | For the terminal problem of optimal control over systems of standard form with constant delay, according to the Pontryagin maximum principle, we study a boundary-value problem with deviating arguments with delay and anticipation. We justify an averaging method for an asymptotic solution of the boundary-value problem obtained. |
| first_indexed | 2026-03-24T03:14:30Z |
| format | Article |
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| id | umjimathkievua-article-5319 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:30Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ba/64d18958279f02b12bc111f2e4157fba.pdf |
| spelling | umjimathkievua-article-53192020-03-18T21:30:10Z Averaging of boundary-value problems of control over a standard system with delay Усреднение краевых задач в управлении стандартной системой с запаздыванием Efendiev, V. V. Zheltikov, V. P. Эфендиев, В. В. Желтиков, В. П. Эфендиев, В. В. Желтиков, В. П. For the terminal problem of optimal control over systems of standard form with constant delay, according to the Pontryagin maximum principle, we study a boundary-value problem with deviating arguments with delay and anticipation. We justify an averaging method for an asymptotic solution of the boundary-value problem obtained. Для термінальної задачі оптимального керування системами стандартного вигляду з постійним запізненням згідно з принципом максимуму Л. С. Понпрягіна розглянуто граничну задачу з аргументами запізнення та випередження, що відхиляються. Обгрунтовано метод усереднення для асимптотичного розв'язку одержаної граничної задачі. Institute of Mathematics, NAS of Ukraine 1996-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5319 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 4 (1996); 548-553 Український математичний журнал; Том 48 № 4 (1996); 548-553 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5319/7329 https://umj.imath.kiev.ua/index.php/umj/article/view/5319/7330 Copyright (c) 1996 Efendiev V. V.; Zheltikov V. P. |
| spellingShingle | Efendiev, V. V. Zheltikov, V. P. Эфендиев, В. В. Желтиков, В. П. Эфендиев, В. В. Желтиков, В. П. Averaging of boundary-value problems of control over a standard system with delay |
| title | Averaging of boundary-value problems of control over a standard system with delay |
| title_alt | Усреднение краевых задач в управлении стандартной
системой с запаздыванием |
| title_full | Averaging of boundary-value problems of control over a standard system with delay |
| title_fullStr | Averaging of boundary-value problems of control over a standard system with delay |
| title_full_unstemmed | Averaging of boundary-value problems of control over a standard system with delay |
| title_short | Averaging of boundary-value problems of control over a standard system with delay |
| title_sort | averaging of boundary-value problems of control over a standard system with delay |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5319 |
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