Optimal control problems of Stochastic Volterra integral equations under Volatility Ambiguity

Bingru Zhao; Mingshang Hu

Optimal control problems of Stochastic Volterra integral equations under Volatility Ambiguity

Optimization and Control 2026-07-07 v1

Authors: Bingru Zhao , Mingshang Hu

Abstract

In this paper, we study the optimal control problems for stochastic Volterra integral equations driven by G-Brownian motion under Volatility Ambiguity. With the help of G-stochastic analysis techniques and the weak convergence methods, we obtain the variation of the cost functional and the variational inequality. Under the convexity assumptions, we establish the stochastic maximum principle, which serves as both a necessary and sufficient condition for optimal control.

Keywords

stochastic Volterra integral equations G-Brownian motion volatility ambiguity optimal control stochastic maximum principle

Cite

@article{arxiv.2607.06139,
  title  = {Optimal control problems of Stochastic Volterra integral equations under Volatility Ambiguity},
  author = {Bingru Zhao and Mingshang Hu},
  journal= {arXiv preprint arXiv:2607.06139},
  year   = {2026}
}