On the application of the averaging method to one problem of optimal control with unfixed time
UDC 517.9 We consider the problem of optimal control for a system of differential equations with rapidly oscillating coefficients and a coercive target functional. The final time is not fixed. It is defined as the first time of hitting of a given closed bounded subset of th...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8606 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
We consider the problem of optimal control for a system of differential equations with rapidly oscillating coefficients and a coercive target functional. The final time is not fixed. It is defined as the first time of hitting of a given closed bounded subset of the phase space by the phase point. The solvability of this problem  is proved, and the  convergence of the optimal solutions of the original problem to the optimal process of the problem with averaged parameters is justified. |
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| DOI: | 10.3842/umzh.v76i10.8606 |