Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Functional Analysis
2019-02-01 v1
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.
Keywords
Cite
@article{arxiv.1901.11348,
title = {Well-posedness of infinite-dimensional non-autonomous passive boundary control systems},
author = {Birgit Jacob and Hafida Laasri},
journal= {arXiv preprint arXiv:1901.11348},
year = {2019}
}