Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls
Optimization and Control
2025-04-15 v1
Abstract
We establish the internal exact controllability of a refined stochastic hyperbolic equation by deriving a suitable observability inequality via Carleman estimates for the associated backward stochastic hyperbolic equation. In contrast to existing results on boundary exact controllability--which require longer waiting times, we demonstrate that the required waiting time for internal exact controllability in stochastic hyperbolic equations coincides exactly with that of their deterministic counterparts.
Cite
@article{arxiv.2504.09262,
title = {Exact Controllability for a Refined Stochastic Hyperbolic Equation with Internal Controls},
author = {Zengyu Li and Zhonghua Liao and Qi Lü},
journal= {arXiv preprint arXiv:2504.09262},
year = {2025}
}