Mathematics – Optimization and Control
Scientific paper
2009-11-19
Mathematics
Optimization and Control
Scientific paper
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.
Meyer-Brandis Thilo
Oksendal Bernt
Zhou Xunyu
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