Dynamic programming principle for one kind of stochastic recursive optimal control problem and Hamilton-Jacobi-Bellman equations
Optimization and Control
2007-05-23 v1 Probability
Abstract
In this paper, we study one kind of stochastic recursive optimal control problem with the obstacle constraints for the cost function where the cost function is described by the solution of one reflected backward stochastic differential equations. We will give the dynamic programming principle for this kind of optimal control problem and show that the value function is the unique viscosity solution of the obstacle problem for the corresponding Hamilton-Jacobi-Bellman equations.
Cite
@article{arxiv.0704.3775,
title = {Dynamic programming principle for one kind of stochastic recursive optimal control problem and Hamilton-Jacobi-Bellman equations},
author = {Zhen Wu and Zhiyong Yu},
journal= {arXiv preprint arXiv:0704.3775},
year = {2007}
}