The turnpike property for high-dimensional interacting agent systems in discrete time
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929310425677824 |
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| author | Gugat, Martin Herty, Michael Liu, Jiehong Segala, Chiara |
| author_facet | Gugat, Martin Herty, Michael Liu, Jiehong Segala, Chiara |
| contents | We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems. It is shown that the resulting time-discrete system inherits the turnpike property with estimates of the same type as in the continuous case. In particular, we prove that the discrete time optimal control problem is strictly dissipative and the cheap control assumption holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The turnpike property for high-dimensional interacting agent systems in discrete time Gugat, Martin Herty, Michael Liu, Jiehong Segala, Chiara Optimization and Control Numerical Analysis We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems. It is shown that the resulting time-discrete system inherits the turnpike property with estimates of the same type as in the continuous case. In particular, we prove that the discrete time optimal control problem is strictly dissipative and the cheap control assumption holds. |
| title | The turnpike property for high-dimensional interacting agent systems in discrete time |
| topic | Optimization and Control Numerical Analysis |
| url | https://arxiv.org/abs/2404.06134 |