The turnpike control in stochastic multi-agent dynamics: a discrete-time approach with exponential integrators
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909535798558720 |
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| author | Cassini, Fabio Segala, Chiara |
| author_facet | Cassini, Fabio Segala, Chiara |
| contents | In this manuscript, we study the turnpike property in stochastic discrete-time optimal control problems for interacting agents. Extending previous deterministic results, we show that the turnpike effect persists in the presence of noise under suitable dissipativity and controllability conditions. To handle the possible stiffness in the system dynamics, we employ for the time discretization, integrators of exponential type. Numerical experiments validate our findings, demonstrating the advantages of exponential integrators over standard explicit schemes and confirming the effectiveness of the turnpike control even in the stochastic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The turnpike control in stochastic multi-agent dynamics: a discrete-time approach with exponential integrators Cassini, Fabio Segala, Chiara Optimization and Control Numerical Analysis In this manuscript, we study the turnpike property in stochastic discrete-time optimal control problems for interacting agents. Extending previous deterministic results, we show that the turnpike effect persists in the presence of noise under suitable dissipativity and controllability conditions. To handle the possible stiffness in the system dynamics, we employ for the time discretization, integrators of exponential type. Numerical experiments validate our findings, demonstrating the advantages of exponential integrators over standard explicit schemes and confirming the effectiveness of the turnpike control even in the stochastic setting. |
| title | The turnpike control in stochastic multi-agent dynamics: a discrete-time approach with exponential integrators |
| topic | Optimization and Control Numerical Analysis |
| url | https://arxiv.org/abs/2503.09549 |