Fractal variational principle for an optimal control problem
The optimal control of a system governed by an elliptic equation has been widely applied in engineering, and it requires twice differentiability. Furthermore, the optimal control cannot effectively deal with unsmooth boundaries. Now, the condition will not be maintained for a long time because this...
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2022-12-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484221104647 |
| _version_ | 1811237142450405376 |
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| author | Hongjin Ma |
| author_facet | Hongjin Ma |
| author_sort | Hongjin Ma |
| collection | DOAJ |
| description | The optimal control of a system governed by an elliptic equation has been widely applied in engineering, and it requires twice differentiability. Furthermore, the optimal control cannot effectively deal with unsmooth boundaries. Now, the condition will not be maintained for a long time because this paper suggests a fractal optimal control of a system governed by a fractal variational principle to deal with unsmooth boundaries. The new optimal theory has obvious advantages in low differentiability for an unsmooth boundary problem. The air conditioning in a room is used as an example to show how to maintain maximum comfortableness of the workplace and maximum efficiency of energy saving. |
| first_indexed | 2024-04-12T12:19:53Z |
| format | Article |
| id | doaj.art-50ead96769ee45098900e059ffabf916 |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-04-12T12:19:53Z |
| publishDate | 2022-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-50ead96769ee45098900e059ffabf9162022-12-22T03:33:19ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462022-12-014110.1177/14613484221104647Fractal variational principle for an optimal control problemHongjin MaThe optimal control of a system governed by an elliptic equation has been widely applied in engineering, and it requires twice differentiability. Furthermore, the optimal control cannot effectively deal with unsmooth boundaries. Now, the condition will not be maintained for a long time because this paper suggests a fractal optimal control of a system governed by a fractal variational principle to deal with unsmooth boundaries. The new optimal theory has obvious advantages in low differentiability for an unsmooth boundary problem. The air conditioning in a room is used as an example to show how to maintain maximum comfortableness of the workplace and maximum efficiency of energy saving.https://doi.org/10.1177/14613484221104647 |
| spellingShingle | Hongjin Ma Fractal variational principle for an optimal control problem Journal of Low Frequency Noise, Vibration and Active Control |
| title | Fractal variational principle for an optimal control problem |
| title_full | Fractal variational principle for an optimal control problem |
| title_fullStr | Fractal variational principle for an optimal control problem |
| title_full_unstemmed | Fractal variational principle for an optimal control problem |
| title_short | Fractal variational principle for an optimal control problem |
| title_sort | fractal variational principle for an optimal control problem |
| url | https://doi.org/10.1177/14613484221104647 |
| work_keys_str_mv | AT hongjinma fractalvariationalprincipleforanoptimalcontrolproblem |