Dynamics of -piecewise pseudo almost periodic solutions of neutral-type inertial neural networks models: existence and attractiveness.

Abstract

In this work, we use measure theory to provide new sufficient conditions for the existence, uniqueness and global exponential stability of piecewise pseudo almost periodic solutions of neutral-type inertial neural networks with mixed delay and impulsive perturbations. By proposing a variable substitution, the neutral-type inertial neural networks can be rewritten as a first-order differential equation. As a consequence, we investigate the exponential attractiveness of -piecewise pseudo almost periodic solutions of the considered model. Moreover, some numerical simulations are given to illustrate our main results.