About one problem of optimal control synthesis
This paper tackles the problem of characterizing the natural class, or Riccati rule space, of solutions to a specific e quation. Despite the significant theoretical and practical implications, there is limited research exploring the application of spectral decomposition of non-self-adjoint different...
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| Format: | Article |
| Language: | English |
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EJAAM
2023-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2023/10.62780-ejaam-2023-002.pdf |
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| _version_ | 1823864817582080000 |
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| author | Muhametberdy Rakhimov |
| author_facet | Muhametberdy Rakhimov |
| author_sort | Muhametberdy Rakhimov |
| collection | DOAJ |
| description | This paper tackles the problem of characterizing the natural class, or Riccati rule space, of solutions to a specific e quation. Despite the significant theoretical and practical implications, there is limited research exploring the application of spectral decomposition of non-self-adjoint differential operators to explicitly solve this nonlinear Riccati equation. Therefore, investigating operator Riccati equations holds potential to validate the dynamic programming method and address the synthesis problem |
| format | Article |
| id | doaj-art-11f433a7455b419bbf8542270399c598 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-11f433a7455b419bbf8542270399c5982025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902023-12-01202310.62780/ejaam/2023-002About one problem of optimal control synthesisMuhametberdy Rakhimov0State Energy Institute of Turkmenistan, Mary, TurkmenistanThis paper tackles the problem of characterizing the natural class, or Riccati rule space, of solutions to a specific e quation. Despite the significant theoretical and practical implications, there is limited research exploring the application of spectral decomposition of non-self-adjoint differential operators to explicitly solve this nonlinear Riccati equation. Therefore, investigating operator Riccati equations holds potential to validate the dynamic programming method and address the synthesis problemhttps://ejaam.org/articles/2023/10.62780-ejaam-2023-002.pdfbellman equationoperator riccati equationenergy class |
| spellingShingle | Muhametberdy Rakhimov About one problem of optimal control synthesis E-Journal of Analysis and Applied Mathematics bellman equation operator riccati equation energy class |
| title | About one problem of optimal control synthesis |
| title_full | About one problem of optimal control synthesis |
| title_fullStr | About one problem of optimal control synthesis |
| title_full_unstemmed | About one problem of optimal control synthesis |
| title_short | About one problem of optimal control synthesis |
| title_sort | about one problem of optimal control synthesis |
| topic | bellman equation operator riccati equation energy class |
| url | https://ejaam.org/articles/2023/10.62780-ejaam-2023-002.pdf |
| work_keys_str_mv | AT muhametberdyrakhimov aboutoneproblemofoptimalcontrolsynthesis |