Application of the method of averaging to the problems of optimal control for ordinary differential equations on the semiaxis
The method of averaging is applied to the nonlinear and linear (with respect to control) problems of optimal control on the semiaxis with small parameter and rapidly oscillating coefficients. It is shown that the solutions of the exact problem converge to the solutions of the averaged problem.
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2018
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1584 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | The method of averaging is applied to the nonlinear and linear (with respect to control) problems of optimal control on
the semiaxis with small parameter and rapidly oscillating coefficients. It is shown that the solutions of the exact problem
converge to the solutions of the averaged problem. |
|---|