Existence of an equilibrium for neural fields under output proportional feedback
Résumé
In [2], the authors study the stabilization of a class of delayed neural fields through output proportional feedback. They provide a condition under which the resulting closed-loop system is input-to-state stable (ISS). However, a key assumption in that paper is the existence of an equilibrium for the closed-loop system. We show here that such an equilibrium does exist if the activation functions are bounded.
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Fixed_point_neural_fields.pdf (240.47 Ko)
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Fixed_point_HAL_v2.pdf (93.21 Ko)
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