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

2022/02/28 by Lucas Brivadis, Brivadis, Lucas, Cyprien Tamekue +3 · 1 citation
Computer Science · Neuroscience · Physics and Astronomy · #FOS: Mathematics #Neural Networks Stability and Synchronization #Neural dynamics and brain function #Optimization and Control (math.OC) #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2202.13760

openalex publication_date 2022/02/28 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

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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