Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia
The author studies the minimax optimal control problem for an extensible beam equation that takes into account rotational inertia effects. A velocity term multiplied by the bilinear control and disturbance functions to construct a minimax optimal control strategy is added. The existence of an optima...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/9903316 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850167817067823104 |
|---|---|
| author | Jinsoo Hwang |
| author_facet | Jinsoo Hwang |
| author_sort | Jinsoo Hwang |
| collection | DOAJ |
| description | The author studies the minimax optimal control problem for an extensible beam equation that takes into account rotational inertia effects. A velocity term multiplied by the bilinear control and disturbance functions to construct a minimax optimal control strategy is added. The existence of an optimal pair, meaning optimal control and perturbation, is proved by assuming some conditions on the considered quadratic cost function. The optimal conditions for optimal pairs are provided by the adjoint systems that correspond to some physically meaningful observation cases. |
| format | Article |
| id | doaj-art-df94c00cdcf147e89de421f219e82604 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-df94c00cdcf147e89de421f219e826042025-08-20T02:21:07ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/9903316Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational InertiaJinsoo Hwang0Department of Mathematics EducationThe author studies the minimax optimal control problem for an extensible beam equation that takes into account rotational inertia effects. A velocity term multiplied by the bilinear control and disturbance functions to construct a minimax optimal control strategy is added. The existence of an optimal pair, meaning optimal control and perturbation, is proved by assuming some conditions on the considered quadratic cost function. The optimal conditions for optimal pairs are provided by the adjoint systems that correspond to some physically meaningful observation cases.http://dx.doi.org/10.1155/2023/9903316 |
| spellingShingle | Jinsoo Hwang Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia Journal of Mathematics |
| title | Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia |
| title_full | Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia |
| title_fullStr | Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia |
| title_full_unstemmed | Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia |
| title_short | Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia |
| title_sort | bilinear minimax optimal control problems of the velocity term in an extensible beam equation with rotational inertia |
| url | http://dx.doi.org/10.1155/2023/9903316 |
| work_keys_str_mv | AT jinsoohwang bilinearminimaxoptimalcontrolproblemsofthevelocityterminanextensiblebeamequationwithrotationalinertia |