Forward-Backward Stochastic Differential Equations and Backward Linear Quadratic Stochastic Optimal Control Problem

Forward-Backward Stochastic Differential Equations and Backward Linear Quadratic Stochastic Optimal Control Problem

Year:    2009

Author:    Detao Zhang

Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 402–410

Abstract

In this paper, we use the solutions of forward-backward stochastic differential equations to get the optimal control for backward stochastic linear quadratic optimal control problem. And we also give the linear feedback regulator for the optimal control problem by using the solutions of a group of Riccati equations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19357

Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 402–410

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    backward stochastic differential equations optimal control Riccati equation.

Author Details

Detao Zhang