On the Upper Bound of Near Potential Differential Games
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909502497882112 |
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| author | Varga, Balint |
| author_facet | Varga, Balint |
| contents | This letter presents an extended analysis and a novel upper bound of the subclass of Linear Quadratic Near Potential Differential Games (LQ NPDG). LQ NPDGs are a subclass of potential differential games, for which a distance between an LQ exact potential differential game and the LQ NPDG. LQ NPDGs exhibit a unique characteristic: the smaller the distance from an LQ exact potential differential game, the closer their dynamic trajectories. This letter introduces a novel upper bound for this distance. Moreover, a linear relation between this distance and the resulting trajectory errors is established, opening the possibility for further application of LQ NPDGs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03010 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Upper Bound of Near Potential Differential Games Varga, Balint Dynamical Systems This letter presents an extended analysis and a novel upper bound of the subclass of Linear Quadratic Near Potential Differential Games (LQ NPDG). LQ NPDGs are a subclass of potential differential games, for which a distance between an LQ exact potential differential game and the LQ NPDG. LQ NPDGs exhibit a unique characteristic: the smaller the distance from an LQ exact potential differential game, the closer their dynamic trajectories. This letter introduces a novel upper bound for this distance. Moreover, a linear relation between this distance and the resulting trajectory errors is established, opening the possibility for further application of LQ NPDGs. |
| title | On the Upper Bound of Near Potential Differential Games |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2307.03010 |