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Discrete-time approximation for stochastic optimal control problems under the $G$-expectation framework

Optimization and Control 2021-10-05 v3 Numerical Analysis Numerical Analysis

Abstract

In this paper, we propose a class of discrete-time approximation schemes for stochastic optimal control problems under the GG-expectation framework. The proposed schemes are constructed recursively based on piecewise constant policy. We prove the convergence of the discrete schemes and determine the convergence rates. Several numerical examples are presented to illustrate the effectiveness of the obtained results.

Keywords

Cite

@article{arxiv.2104.02268,
  title  = {Discrete-time approximation for stochastic optimal control problems under the $G$-expectation framework},
  author = {Lianzi Jiang},
  journal= {arXiv preprint arXiv:2104.02268},
  year   = {2021}
}

Comments

20 pages

R2 v1 2026-06-24T00:52:28.699Z