Second order analysis for the optimal selection of time delays
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910458045267968 |
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| author | Kunisch, Karl Troeltzsch, Fredi |
| author_facet | Kunisch, Karl Troeltzsch, Fredi |
| contents | For a nonlinear ordinary differential equation with time delay, the differentiation of the solution with respect to the delay is investigated. Special emphasis is laid on the second-order derivative. The results are applied to an associated optimization problem for the time delay. A first- and second-order sensitivity analysis is performed including an adjoint calculus that avoids the second derivative of the state with respect to the delay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second order analysis for the optimal selection of time delays Kunisch, Karl Troeltzsch, Fredi Optimization and Control 49K15, 49K40, 49K20, 34K35, 34K38 For a nonlinear ordinary differential equation with time delay, the differentiation of the solution with respect to the delay is investigated. Special emphasis is laid on the second-order derivative. The results are applied to an associated optimization problem for the time delay. A first- and second-order sensitivity analysis is performed including an adjoint calculus that avoids the second derivative of the state with respect to the delay. |
| title | Second order analysis for the optimal selection of time delays |
| topic | Optimization and Control 49K15, 49K40, 49K20, 34K35, 34K38 |
| url | https://arxiv.org/abs/2405.14775 |