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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.15559 |
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| _version_ | 1866909264136634368 |
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| author | Acquistapace, Paolo Bucci, Francesca |
| author_facet | Acquistapace, Paolo Bucci, Francesca |
| contents | We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following the perspective taken in our previous research work on the LQ problem for integro-differential equations, where the memory term -- here involving the control actions -- is seen as a component of the state, we offer a full (closed-loop, Riccati-like) solution to the optimization problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15559 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal synthesis control for evolution equations subject to nonlocal inputs Acquistapace, Paolo Bucci, Francesca Optimization and Control Analysis of PDEs 49N10, 35R09, 93C23, 49N35 We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following the perspective taken in our previous research work on the LQ problem for integro-differential equations, where the memory term -- here involving the control actions -- is seen as a component of the state, we offer a full (closed-loop, Riccati-like) solution to the optimization problem. |
| title | Optimal synthesis control for evolution equations subject to nonlocal inputs |
| topic | Optimization and Control Analysis of PDEs 49N10, 35R09, 93C23, 49N35 |
| url | https://arxiv.org/abs/2407.15559 |