Managerial Planning: An Optimum and Stochastic Control Approach - Tapiero, Ch.S.
A. Kalliauer (1980)
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A. Kalliauer (1980)
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Thomas Müller-Gronbach (1995)
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E. von CollanI (1988)
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L. Arnold (1989)
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S.K. Nasr (1970)
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N. Bhashyam (1973)
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H. Heyer (1998)
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J. Jacod (1987)
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H. Heyer (1987)
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R.K. Saxena, A.M. Mathai (1973)
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M. Metivier (1985)
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Jianhui Huang, Jingtao Shi (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper deals with the optimal control problem in which the controlled system is described by a fully coupled anticipated forward-backward stochastic differential delayed equation. The maximum principle for this problem is obtained under the assumption that the diffusion coefficient does not contain the control variables and the control domain is not necessarily convex. Both the necessary and sufficient conditions of optimality are proved. As illustrating examples, two kinds of linear...
Yufeng Shi, Qingfeng Zhu (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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The partially observed optimal control problem is considered for forward-backward doubly stochastic systems with controls entering into the diffusion and the observation. The maximum principle is proven for the partially observable optimal control problems. A probabilistic approach is used, and the adjoint processes are characterized as solutions of related forward-backward doubly stochastic differential equations in finite-dimensional spaces. Then, our theoretical result is applied...
E. von Collani (1989)
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Liangquan Zhang, Yufeng Shi (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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The maximum principle for optimal control problems of fully coupled forward-backward doubly stochastic differential equations (FBDSDEs in short) in the global form is obtained, under the assumptions that the diffusion coefficients do not contain the control variable, but the control domain need not to be convex. We apply our stochastic maximum principle (SMP in short) to investigate the optimal control problems of a class of stochastic partial differential equations (SPDEs in short)....