Norm and time optimal control problems of stochastic heat equations
Optimization and Control
2023-08-17 v1
Abstract
This paper investigates the norm and time optimal control problems for stochastic heat equations. We begin by presenting a characterization of the norm optimal control, followed by a discussion of its properties. We then explore the equivalence between the norm optimal control and time optimal control, and subsequently establish the bang-bang property of the time optimal control. These problems, to the best of our knowledge, are among the first to discuss in the stochastic case.
Keywords
Cite
@article{arxiv.2308.08202,
title = {Norm and time optimal control problems of stochastic heat equations},
author = {Yuanhang Liu and Donghui Yang and Jie Zhong},
journal= {arXiv preprint arXiv:2308.08202},
year = {2023}
}