On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients
Optimization and Control
2021-03-05 v1 Analysis of PDEs
Abstract
The optimal time for the controllability of linear hyperbolic systems in one dimensional space with one-side controls has been obtained recently for time-independent coefficients in our previous works. In this paper, we consider linear hyperbolic systems with time-varying zero-order terms. We show the possibility that the optimal time for the null-controllability becomes significantly larger than the one of the time-invariant setting even when the zero-order term is indefinitely differentiable. When the analyticity with respect to time is imposed for the zero-order term, we also establish that the optimal time is the same as in the time-independent setting.
Cite
@article{arxiv.2103.02653,
title = {On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients},
author = {Jean-Michel Coron and Hoai-Minh Nguyen},
journal= {arXiv preprint arXiv:2103.02653},
year = {2021}
}