Extremal problems for second order hyperbolic systems involving multiple time delays
Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in theNeumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovic...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2023-04-01
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| Series: | Archives of Control Sciences |
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| Online Access: | https://journals.pan.pl/Content/126813/PDF/art06_int.pdf |
| _version_ | 1797844679416348672 |
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| author | Adam Kowalewski |
| author_facet | Adam Kowalewski |
| author_sort | Adam Kowalewski |
| collection | DOAJ |
| description | Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in theNeumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived. |
| first_indexed | 2024-04-09T17:26:11Z |
| format | Article |
| id | doaj.art-993620b392094d4c933b690ef24d37c2 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-09T17:26:11Z |
| publishDate | 2023-04-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-993620b392094d4c933b690ef24d37c22023-04-18T12:27:37ZengPolish Academy of SciencesArchives of Control Sciences1230-23842023-04-01vol. 33No 1101126https://doi.org/10.24425/acs.2023.145116Extremal problems for second order hyperbolic systems involving multiple time delaysAdam Kowalewski0AGH University of Science and Technology, Institute of Automatic Control and Robotics, 30-059 Cracow, al. Mickiewicza 30, PolandExtremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in theNeumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.https://journals.pan.pl/Content/126813/PDF/art06_int.pdfoptimal control theoryboundary controlsecond order hyperbolic systemsmultiple time delayselectric long lines |
| spellingShingle | Adam Kowalewski Extremal problems for second order hyperbolic systems involving multiple time delays Archives of Control Sciences optimal control theory boundary control second order hyperbolic systems multiple time delays electric long lines |
| title | Extremal problems for second order hyperbolic systems involving multiple time delays |
| title_full | Extremal problems for second order hyperbolic systems involving multiple time delays |
| title_fullStr | Extremal problems for second order hyperbolic systems involving multiple time delays |
| title_full_unstemmed | Extremal problems for second order hyperbolic systems involving multiple time delays |
| title_short | Extremal problems for second order hyperbolic systems involving multiple time delays |
| title_sort | extremal problems for second order hyperbolic systems involving multiple time delays |
| topic | optimal control theory boundary control second order hyperbolic systems multiple time delays electric long lines |
| url | https://journals.pan.pl/Content/126813/PDF/art06_int.pdf |
| work_keys_str_mv | AT adamkowalewski extremalproblemsforsecondorderhyperbolicsystemsinvolvingmultipletimedelays |