当前位置: X-MOL 学术SIAM J. Control Optim. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Maximum Principle for Stochastic Recursive Optimal Control Problem under Model Uncertainty
SIAM Journal on Control and Optimization ( IF 2.2 ) Pub Date : 2020-05-19 , DOI: 10.1137/19m128795x
Mingshang Hu , Falei Wang

SIAM Journal on Control and Optimization, Volume 58, Issue 3, Page 1341-1370, January 2020.
In this paper, we consider a stochastic recursive optimal control problem under model uncertainty. In this framework, the cost function is described by solutions of a family of backward stochastic differential equations with uncertainty parameter $\theta$, which is used to represent different market conditions. With the help of linearization techniques and weak convergence methods, we derive the corresponding stochastic maximum principle. Moreover, a linear quadratic robust control problem is also studied.


中文翻译:

模型不确定性下随机递归最优控制问题的最大原理

SIAM控制与优化杂志,第58卷,第3期,第1341-1370页,2020
年1月。在本文中,我们考虑模型不确定性下的随机递归最优控制问题。在此框架中,成本函数由不确定性参数为\\ theta的一族倒向随机微分方程的解描述,用于表示不同的市场条件。借助于线性化技术和弱收敛方法,我们推导了相应的随机最大值原理。此外,还研究了线性二次鲁棒控制问题。
更新日期:2020-07-23
down
wechat
bug