Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913576601518080 |
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| author | Khanh, Huynh Kien, Bui Trong Rösch, Arnd |
| author_facet | Khanh, Huynh Kien, Bui Trong Rösch, Arnd |
| contents | A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the so-called locally optimal solution to time-optimal control problems, we establish first and second-order necessary optimality conditions of KKT-type and second-order sufficient conditions for locally optimal solutions to the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations Khanh, Huynh Kien, Bui Trong Rösch, Arnd Optimization and Control Analysis of PDEs 49K20, 35K20 A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the so-called locally optimal solution to time-optimal control problems, we establish first and second-order necessary optimality conditions of KKT-type and second-order sufficient conditions for locally optimal solutions to the problem. |
| title | Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations |
| topic | Optimization and Control Analysis of PDEs 49K20, 35K20 |
| url | https://arxiv.org/abs/2411.07723 |