Fast Newton methods for linear-quadratic dynamic games with application to autonomous vehicle platooning and intersection crossing
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909011459178496 |
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| author | Baghbadorani, Reza Rahimi Grammatico, Sergio |
| author_facet | Baghbadorani, Reza Rahimi Grammatico, Sergio |
| contents | We consider constrained linear-quadratic dynamic games arising in autonomous vehicle platooning, intersection crossing and other cooperative driving scenarios. Infinite-horizon Nash equilibria are reformulated as receding-horizon affine variational inequalities with special structure. Exploiting this formulation, we design Newton-type algorithms with local quadratic convergence. The resulting methods achieve extremely fast convergence, making them well suited for real-time and embedded receding-horizon control in safety-critical traffic applications. Simulations of platooning and intersection crossing demonstrate substantial performance gains over first-order and operator-splitting approaches, hence high application potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01898 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fast Newton methods for linear-quadratic dynamic games with application to autonomous vehicle platooning and intersection crossing Baghbadorani, Reza Rahimi Grammatico, Sergio Optimization and Control We consider constrained linear-quadratic dynamic games arising in autonomous vehicle platooning, intersection crossing and other cooperative driving scenarios. Infinite-horizon Nash equilibria are reformulated as receding-horizon affine variational inequalities with special structure. Exploiting this formulation, we design Newton-type algorithms with local quadratic convergence. The resulting methods achieve extremely fast convergence, making them well suited for real-time and embedded receding-horizon control in safety-critical traffic applications. Simulations of platooning and intersection crossing demonstrate substantial performance gains over first-order and operator-splitting approaches, hence high application potential. |
| title | Fast Newton methods for linear-quadratic dynamic games with application to autonomous vehicle platooning and intersection crossing |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2605.01898 |