Application of the method of averaging to the problems of optimal control over functional-differential equations
We study the application of the method of averaging to the problems of optimal control over functional-differential equations. The procedure of averaging allows us to replace the original problem with the problem of optimal control by a system of ordinary differential equations. It is proved that th...
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| Date: | 2018 |
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| Main Authors: | , , , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2018
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1551 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We study the application of the method of averaging to the problems of optimal control over functional-differential
equations. The procedure of averaging allows us to replace the original problem with the problem of optimal control by a
system of ordinary differential equations. It is proved that the optimal control over the averaged problem is almost optimal
for the exact problem. The optimal control problems are investigated on finite and infinite horizons. |
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