2 papers
math.OC2025
Optimal control of stochastic homogenous systems
Ying Hu, Xiaomin Shi, Zuo Quan Xu
This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) f…
math.PR2023
Comparison theorems for multi-dimensional BSDEs with jumps and applications to constrained stochastic linear-quadratic control
Ying Hu, Xiaomin Shi, Zuo Quan Xu
In this paper, we, for the first time, establish two comparison theorems for multi-dimensional backward stochastic differential equations with jumps. Our approach is novel and comp…