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arXiv · 2602.14156

Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon

Arkadiusz Misztela·Sławomir Plaskacz
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Abstract

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.

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Arkadiusz Misztela, Sławomir Plaskacz. 2026-02-15. Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon. https://doi.org/10.1007/s00245-025-10362-3

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