Null controllability of two kinds of coupled parabolic systems with switching control
Optimization and Control
2023-08-21 v1
Abstract
The focus of this paper is on the null controllability of two kinds of coupled systems including both degenerate and non-degenerate equations with switching control. We first establish the observability inequality for measurable subsets in time for such coupled system, and then by the HUM method to obtain the null controllability. Next, we investigate the null controllability of such coupled system for segmented time intervals. Notably, these results are obtained through spectral inequalities rather than using the method of Carleman estimates. Such coupled systems with switching control, to the best of our knowledge, are among the first to discuss.
Keywords
Cite
@article{arxiv.2308.08752,
title = {Null controllability of two kinds of coupled parabolic systems with switching control},
author = {Yuanhang Liu and Weijia Wu and Donghui Yang},
journal= {arXiv preprint arXiv:2308.08752},
year = {2023}
}