Exponential turnpike property for particle systems and mean-field limit
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916940940836864 |
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| author | Herty, Michael Zhou, Yizhou |
| author_facet | Herty, Michael Zhou, Yizhou |
| contents | This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we show that all the results for particle systems can be preserved under the limit in the case of infinitely many particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17127 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential turnpike property for particle systems and mean-field limit Herty, Michael Zhou, Yizhou Optimization and Control 93C20, 35Q89, 49N10 This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we show that all the results for particle systems can be preserved under the limit in the case of infinitely many particles. |
| title | Exponential turnpike property for particle systems and mean-field limit |
| topic | Optimization and Control 93C20, 35Q89, 49N10 |
| url | https://arxiv.org/abs/2406.17127 |