Lipschitzian Estimates in Discrete-Time Constrained Stochastic Optimal Control
Optimization and Control
2007-05-23 v1 Dynamical Systems
Abstract
This paper is devoted to the analysis of a finite horizon discrete-time stochastic optimal control problem, in presence of constraints. We study the regularity of the value function which comes from the dynamic programming algorithm. We derive accurate estimates of the Lipschitz constant of the value function, by means of a regularity result of the multifunction that defines the admissible control set. In the last section we discuss an application to an optimal asset-allocation problem.
Cite
@article{arxiv.math/0206037,
title = {Lipschitzian Estimates in Discrete-Time Constrained Stochastic Optimal Control},
author = {M. Papi and S. Sbaraglia},
journal= {arXiv preprint arXiv:math/0206037},
year = {2007}
}