On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations

Abstract In this note, we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of solutions to first‐order Hamilton–Jacobi–Bellman equations.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-04-22
DOI
https://doi.org/10.1112/blms.70078
Citations
1
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
1.32

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article

On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations

Alpár R. Mészáros, Mohit Bansil
1 citations
Bulletin of the London Mathematical Society
Quantum chaos and dynamical systems
1.32
article

On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations

Alpár R. Mészáros, Mohit Bansil
article en
1 citations

Abstract

Abstract In this note, we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of solutions to first‐order Hamilton–Jacobi–Bellman equations.

Bulletin of the London Mathematical SocietyVol. 57(7)
University of California, Los Angeles (US), Durham University (GB)
National Science Foundation, UK Research and Innovation, King Abdullah University of Science and Technology, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences, Air Force Office of Scientific Research
Openalex Percentile: Top 20%
Quantum chaos and dynamical systems
1.32
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