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arXiv · 2202.13760

Existence of an equilibrium for delayed neural fields under output proportional feedback

Lucas Brivadis·Cyprien Tamekue·Antoine Chaillet·Jean Auriol
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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.

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Lucas Brivadis, Cyprien Tamekue, Antoine Chaillet, Jean Auriol. 2022-02-28. Existence of an equilibrium for delayed neural fields under output proportional feedback. https://arxiv.org/abs/2202.13760

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