A stochastic maximum principle via Malliavin calculus
Optimization and Control
2009-11-20 v1 Probability
Abstract
This paper considers a controlled It\^o-L\'evy process where the information available to the controller is possibly less than the overall information. All the system coefficients and the objective performance functional are allowed to be random, possibly non-Markovian. Malliavin calculus is employed to derive a maximum principle for the optimal control of such a system where the adjoint process is explicitly expressed.
Cite
@article{arxiv.0911.3720,
title = {A stochastic maximum principle via Malliavin calculus},
author = {Thilo Meyer-Brandis and Xunyu Zhou and Bernt Oksendal},
journal= {arXiv preprint arXiv:0911.3720},
year = {2009}
}