Linear Quadratic Stochastic Optimal Control of Forward Backward Stochastic Control System Associated with Lévy Process
Keyword(s):
This paper analyzes one kind of linear quadratic (LQ) stochastic control problem of forward backward stochastic control system associated with Lévy process. We obtain the explicit form of the optimal control, then prove it to be unique, and get the linear feedback regulator by introducing one kind of generalized Riccati equation. Finally, we discuss the solvability of the generalized Riccati equation, and its existence and uniqueness of the solutions are proved in a special case.
2017 ◽
Vol 31
(4)
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pp. 859-874
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Keyword(s):
2015 ◽
Vol 2015
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pp. 1-12
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2017 ◽
Vol 176
(2)
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pp. 319-350
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Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
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1994 ◽
Vol 1994
(0)
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pp. 15-22
Keyword(s):
2016 ◽
Vol 6
(1)
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pp. 406-412
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