Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Authors
Abstract
We study a class of non-autonomous boundary control and observation linear systems that are governed by non-autonomous multiplicative perturbations. This class is motivated by different fundamental partial differential equations, such as controlled wave equations and Timoshenko beams. Our main results give sufficient condition for well-posedness, existence and uniqueness of classical and mild solutions.
Citation
- Journal: Evolution Equations & Control Theory
- Year: 2021
- Volume: 10
- Issue: 2
- Pages: 385–409
- Publisher: American Institute of Mathematical Sciences (AIMS)
- DOI: 10.3934/eect.2020072
BibTeX
@article{Jacob_2021,
title={{Well-posedness of infinite-dimensional non-autonomous passive boundary control systems}},
volume={10},
ISSN={2163-2480},
DOI={10.3934/eect.2020072},
number={2},
journal={Evolution Equations & Control Theory},
publisher={American Institute of Mathematical Sciences (AIMS)},
author={Jacob, Birgit and Laasri, Hafida},
year={2021},
pages={385--409}
}