Pseudo almost periodic solutions for quaternion-valued cellular neural networks with discrete and distributed delays

J Inequal Appl. 2018;2018(1):245. doi: 10.1186/s13660-018-1837-1. Epub 2018 Sep 19.

Abstract

This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficient conditions are derived for the existence and global exponential stability of pseudo almost periodic solutions of this class of neural networks. Finally, a numerical example is given to illustrate the feasibility of the obtained results.

Keywords: Distributed delay; Exponent stability; Pseudo almost periodic solutions; Quaternion-valued cellular neural networks.