Abstract
In the present paper, we investigate stability of solutions of Hamilton–Jacobi–Bellman equations under state constraints by studying stability of value functions of a suitable family of Bolza optimal control problems under state constraints. The stability is guaranteed by the classical assumptions imposed on Hamiltonians and an inward-pointing condition on state constraints.
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Acknowledgments
This study was funded by the European Union under the Seventh Framework Programme ”FP7-PEOPLE-2010-ITN,” grant agreement number 264735-SADCO
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Communicated by Lars Grüne.
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Sedrakyan, H. Stability of Solutions to Hamilton–Jacobi Equations Under State Constraints. J Optim Theory Appl 168, 63–91 (2016). https://doi.org/10.1007/s10957-015-0765-1
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DOI: https://doi.org/10.1007/s10957-015-0765-1
Keywords
- Hamilton–Jacobi equation
- Optimal control
- Bolza problem
- Viscosity solution
- State constraints
- Stability of solutions