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arXiv · 0911.3720

A stochastic maximum principle via Malliavin calculus

Thilo Meyer-Brandis·Xunyu Zhou·Bernt Oksendal
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Abstract

This paper considers a controlled Itô-Lévy 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.

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Thilo Meyer-Brandis, Xunyu Zhou, Bernt Oksendal. 2009-11-19. A stochastic maximum principle via Malliavin calculus. https://arxiv.org/abs/0911.3720

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