An Effective Gradient Projection Method for Stochastic Optimal Control

An Effective Gradient Projection Method for Stochastic Optimal Control

Year:    2013

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 4 : pp. 757–774

Abstract

In this work, we propose a simple yet effective gradient projection algorithm for a class of stochastic optimal control problems. The basic iteration block is to compute gradient projection of the objective functional by solving the state and co-state equations via some Euler methods and by using the Monte Carlo simulations. Convergence properties are discussed and extensive numerical tests are carried out. Possibility of extending this algorithm to more general stochastic optimal control is also discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-IJNAM-594

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 4 : pp. 757–774

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    stochastic optimal control numerical method gradient projection algorithm.