Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917275544584192 |
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| author | Misztela, Arkadiusz Plaskacz, Sławomir |
| author_facet | Misztela, Arkadiusz Plaskacz, Sławomir |
| contents | In this paper, for the Hamilton-Jacobi-Bellman equation with an infinite horizon and state constraints, we construct a suitably regular representation. This allows us to reduce the problem of existence and uniqueness of solutions to the Frankowska and Basco theorem from (2019). Furthermore, we demonstrate that our representations are stable. The obtained results are illustrated with examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14156 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon Misztela, Arkadiusz Plaskacz, Sławomir Optimization and Control 34A60, 49J15, 49L25, 70H20 In this paper, for the Hamilton-Jacobi-Bellman equation with an infinite horizon and state constraints, we construct a suitably regular representation. This allows us to reduce the problem of existence and uniqueness of solutions to the Frankowska and Basco theorem from (2019). Furthermore, we demonstrate that our representations are stable. The obtained results are illustrated with examples. |
| title | Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon |
| topic | Optimization and Control 34A60, 49J15, 49L25, 70H20 |
| url | https://arxiv.org/abs/2602.14156 |