Stable Representations of Hamilton–Jacobi–Bellman Equations with Infinite Horizon
Abstract
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 Basco and Frankowska (Nonlinear Differ Equ Appl 26:1–24, 2019). Furthermore, we demonstrate that our representations are stable. The obtained results are illustrated with examples.
Fields of Study & Subjects
Optimization and Variational Analysis
Adaptive Dynamic Programming Control
Stochastic processes and financial applications
Publication details
- Journal / source
- Applied Mathematics & Optimization
- Volume
- 93
- Issue
- 1
- Publication date
- 5 January 2026
- Language
- EN