Existence of an equilibrium for delayed neural fields under output proportional feedback - Archive ouverte HAL
Article Dans Une Revue Automatica Année : 2023

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

Lucas Brivadis
Cyprien Tamekue
Antoine Chaillet
Jean Auriol

Résumé

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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Dates et versions

hal-03589737 , version 1 (25-02-2022)
hal-03589737 , version 2 (10-11-2022)
hal-03589737 , version 3 (13-12-2022)

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Lucas Brivadis, Cyprien Tamekue, Antoine Chaillet, Jean Auriol. Existence of an equilibrium for delayed neural fields under output proportional feedback. Automatica, 2023, ⟨10.1016/j.automatica.2023.110909⟩. ⟨hal-03589737v3⟩
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