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math.OC2022
Dynamic programming principle for stochastic optimal control problem under degenerate G-expectation
Xiaojuan Li
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…
math.OC2022
Relationship between MP and DPP for stochastic recursive optimal control problem under volatility uncertainty
Xiaojuan Li
In this paper, we study the relationship between maximum principle (MP) and dynamic programming principle (DPP) for stochastic recursive optimal control problem driven by -Brown…
math.OC2021
Dynamic programming principle and Hamilton-Jacobi-Bellman equation under nonlinear expectation
Mingshang Hu, Shaolin Ji, Xiaojuan Li
In this paper, we study a stochastic recursive optimal control problem in which the value functional is defined by the solution of a backward stochastic differential equation (BSDE…