Feedback theory approach to positivity and stability of evolution equations
Functional Analysis
2021-03-31 v1
Abstract
In this paper, we study the positivity and (uniform) exponential stability of a large class of perturbed semigroups. Our approach is essentially based on the feedback theory of infinite-dimensional linear systems. The obtained results are applied to the stability of hyperbolic systems including those with a delay at the boundary conditions.
Keywords
Cite
@article{arxiv.2103.15961,
title = {Feedback theory approach to positivity and stability of evolution equations},
author = {Abed Boulouz and Hamid Bounit and Said Hadd},
journal= {arXiv preprint arXiv:2103.15961},
year = {2021}
}
Comments
20 pages