Stochastic homogenization of deterministic control problems
Analysis of PDEs
2018-06-21 v1 Optimization and Control
Abstract
In this paper we study homogenization of a class of control problems in a stationary and ergodic random environment. This problem has been mostly studied in the calculus of variations setting in connection to the homogenization of the Hamilton-Jacobi equations. We extend the result to the control problems with fairly general state dynamics and macroscopically inhomogeneous Lagrangians. Moreover, our approach proves homogenization under weaker growth assumptions on the Lagrangian even in the well-studied calculus of variations setting.
Cite
@article{arxiv.1806.07563,
title = {Stochastic homogenization of deterministic control problems},
author = {Alexander Van-Brunt},
journal= {arXiv preprint arXiv:1806.07563},
year = {2018}
}