Dynamic programming principle for stochastic optimal control problem under degenerate G-expectation
Optimization and Control
2022-10-19 v1
Abstract
In this paper, we study a stochastic optimal control problem under degenerate G-expectation. By using implied partition method, we show that the approximation result for admissible controls still hold. Based on this result, we prove that the value function is deterministic, and obtain the dynamic programming principle. Furthermore, we prove that the value function is the unique viscosity solution to the related HJB equation under degenerate case.
Cite
@article{arxiv.2210.09869,
title = {Dynamic programming principle for stochastic optimal control problem under degenerate G-expectation},
author = {Xiaojuan Li},
journal= {arXiv preprint arXiv:2210.09869},
year = {2022}
}
Comments
17 pages