Exponential stability of abstract evolution equations with time delay
Analysis of PDEs
2014-07-18 v2
Abstract
We consider abstract semilinear evolution equations with a time delay feedback. We show that, if the -semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time delay feedback is satisfied. Some examples illustrating our abstract approach are also given.
Cite
@article{arxiv.1405.1850,
title = {Exponential stability of abstract evolution equations with time delay},
author = {Serge Nicaise and Cristina Pignotti},
journal= {arXiv preprint arXiv:1405.1850},
year = {2014}
}