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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.00248 |
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| _version_ | 1866911898487750656 |
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| author | Belbas, S. A. |
| author_facet | Belbas, S. A. |
| contents | We formulate nonlinear nonlocal integro-PDE with memory, biloaded (boundary integrals load the ambient space, and the ambient space loads the boundary), and the associated optimal control problems. We derive part of the necessary conditions for optimality in the form of Hamilton-Euler-Lagrange loaded integro-PDEs. In the process, we introduce an agglomeration of new differential operators. Our results have relevance to optimal amelioration of flooded areas, remediation of sites of contaminated groundwater, and active control methods for optimally extinguishing forest fires. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00248 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamiltonian formalism for optimal control of nonlinear loaded integro-PDEs Belbas, S. A. Optimization and Control 45K05, 49K21, 93C20, 93C30 We formulate nonlinear nonlocal integro-PDE with memory, biloaded (boundary integrals load the ambient space, and the ambient space loads the boundary), and the associated optimal control problems. We derive part of the necessary conditions for optimality in the form of Hamilton-Euler-Lagrange loaded integro-PDEs. In the process, we introduce an agglomeration of new differential operators. Our results have relevance to optimal amelioration of flooded areas, remediation of sites of contaminated groundwater, and active control methods for optimally extinguishing forest fires. |
| title | Hamiltonian formalism for optimal control of nonlinear loaded integro-PDEs |
| topic | Optimization and Control 45K05, 49K21, 93C20, 93C30 |
| url | https://arxiv.org/abs/2406.00248 |