Controlled diffusion processes
概率论
2007-05-23 v2
摘要
This article gives an overview of the developments in controlled diffusion processes, emphasizing key results regarding existence of optimal controls and their characterization via dynamic programming for a variety of cost criteria and structural assumptions. Stochastic maximum principle and control under partial observations (equivalently, control of nonlinear filters) are also discussed. Several other related topics are briefly sketched.
引用
@article{arxiv.math/0511077,
title = {Controlled diffusion processes},
author = {Vivek S. Borkar},
journal= {arXiv preprint arXiv:math/0511077},
year = {2007}
}
备注
Published at http://dx.doi.org/10.1214/154957805100000131 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)