A stochastic maximum principle via Malliavin calculus

نویسندگان

  • Thilo Meyer-Brandis
  • Bernt Øksendal
  • Xun Yu Zhou
چکیده

This paper considers a controlled Itô-Lévy process 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 nonMarkovian. Malliavin calculus is employed to derive a maximum principle for the optimal control of such a system where the adjoint process is explicitly expressed. Mathematics Subject Classification 2000: 93E20, 60H10, 60HXX, 60J75

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تاریخ انتشار 2009