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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2601.11320 |
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| _version_ | 1866916012380651520 |
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| author | Lopez, Victor G. Müller, Matthias A. |
| author_facet | Lopez, Victor G. Müller, Matthias A. |
| contents | This paper considers data-based solutions of linear-quadratic nonzero-sum differential games. Two cases are considered. First, the deterministic game is solved and Nash equilibrium strategies are obtained by using persistently excited data from the multiagent system. Then, a stochastic formulation of the game is considered, where each agent measures a different noisy output signal and state observers must be designed for each player. It is shown that the proposed data-based solutions of these games are equivalent to known model-based procedures. The resulting data-based solutions are validated in a numerical experiment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11320 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Data-based Nash Equilibria in LQ Nonzero-sum Differential Games Lopez, Victor G. Müller, Matthias A. Systems and Control This paper considers data-based solutions of linear-quadratic nonzero-sum differential games. Two cases are considered. First, the deterministic game is solved and Nash equilibrium strategies are obtained by using persistently excited data from the multiagent system. Then, a stochastic formulation of the game is considered, where each agent measures a different noisy output signal and state observers must be designed for each player. It is shown that the proposed data-based solutions of these games are equivalent to known model-based procedures. The resulting data-based solutions are validated in a numerical experiment. |
| title | On Data-based Nash Equilibria in LQ Nonzero-sum Differential Games |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2601.11320 |