Stability Analysis of a Class of Two-Neuron Networks with Time-Varying Delays

This paper formulates and studies a model of neural network under a time-varying environment. Without assuming the smoothness, monotonicity and boundedness of the activation functions, the existence and global exponential stability of an unique equilibrium are investigated. Ourap-proach is based on the Brouwer´s fixed point theorem, Banach fixed point theorem, and Halanay-type inequality.