Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod
An initial-boundary problem modelling the rotation of discrete-continuum mechanical system, which consists from a solid and the rigidly connected flexible rod. To solve the problem we determine a solution notion, prove its existence, uniqueness, and continuous dependence from start conditions and pa...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2014-10-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/86 |
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| author | E. P. Kubyshkin M. S. Tryakhov |
| author_facet | E. P. Kubyshkin M. S. Tryakhov |
| author_sort | E. P. Kubyshkin |
| collection | DOAJ |
| description | An initial-boundary problem modelling the rotation of discrete-continuum mechanical system, which consists from a solid and the rigidly connected flexible rod. To solve the problem we determine a solution notion, prove its existence, uniqueness, and continuous dependence from start conditions and parameters of the boundary task. Are resolved tasks of solution rotation from the start phase state to the finish one at a specified time moment and with the controller function norm minimum in the L∞(0, T) space and time control problem with a limited norm of controller function in the specified space. Maximum principe was formulated, and an algorithm of optimal control modelling is proposed. The moments problem is used as an investigation method. |
| format | Article |
| id | doaj-art-66fdb8c22b0c4fdab122eda2580c0713 |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2014-10-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-66fdb8c22b0c4fdab122eda2580c07132025-08-20T03:22:04ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172014-10-01215789210.18255/1818-1015-2014-5-78-9280Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible RodE. P. Kubyshkin0M. S. Tryakhov1P.G. Demidov Yaroslavl State UniversityP.G. Demidov Yaroslavl State UniversityAn initial-boundary problem modelling the rotation of discrete-continuum mechanical system, which consists from a solid and the rigidly connected flexible rod. To solve the problem we determine a solution notion, prove its existence, uniqueness, and continuous dependence from start conditions and parameters of the boundary task. Are resolved tasks of solution rotation from the start phase state to the finish one at a specified time moment and with the controller function norm minimum in the L∞(0, T) space and time control problem with a limited norm of controller function in the specified space. Maximum principe was formulated, and an algorithm of optimal control modelling is proposed. The moments problem is used as an investigation method.https://www.mais-journal.ru/jour/article/view/86initial-boundary taskdiscrete-continuum mechanical systemoptimal controltime control problem |
| spellingShingle | E. P. Kubyshkin M. S. Tryakhov Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod Моделирование и анализ информационных систем initial-boundary task discrete-continuum mechanical system optimal control time control problem |
| title | Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod |
| title_full | Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod |
| title_fullStr | Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod |
| title_full_unstemmed | Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod |
| title_short | Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod |
| title_sort | optimal behavior control of an initial boundary problem solution modelling rotation of a solid body with the flexible rod |
| topic | initial-boundary task discrete-continuum mechanical system optimal control time control problem |
| url | https://www.mais-journal.ru/jour/article/view/86 |
| work_keys_str_mv | AT epkubyshkin optimalbehaviorcontrolofaninitialboundaryproblemsolutionmodellingrotationofasolidbodywiththeflexiblerod AT mstryakhov optimalbehaviorcontrolofaninitialboundaryproblemsolutionmodellingrotationofasolidbodywiththeflexiblerod |