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 |
| Summary: | 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. |
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| ISSN: | 1230-2384 |