Existence of an equilibrium for delayed neural fields under output proportional feedback
Optimization and Control
2023-01-09 v3
Abstract
Recently, [2] proved that the closed-loop system resulting from the output proportional feedback stabilization of a class of delayed neural fields is input-to-state stable (ISS) for sufficiently high gain, subject to the existence of an equilibrium point for the closed-loop system. In the present paper, we show that a sufficient condition for such an equilibrium to exist is that the activation functions are bounded.
Keywords
Cite
@article{arxiv.2202.13760,
title = {Existence of an equilibrium for delayed neural fields under output proportional feedback},
author = {Lucas Brivadis and Cyprien Tamekue and Antoine Chaillet and Jean Auriol},
journal= {arXiv preprint arXiv:2202.13760},
year = {2023}
}