On Pseudo Almost Automorphic Solutions to Quaternion-Valued Cellular Neural Networks With Delays

Abstract

This manuscript considers quaternion-valued cellular neural networks with delays. Applying pseudo almost automorphic solution theory of delayed differential equations and pertinent inequalities, a new sufficient criterion to guarantee the existence and global exponentially stability of pseudo almost automorphic solutions of quaternion-valued cellular neural networks with delays are presented. Different from Xiang and Li, no assumption for kernel functions is necessary. Simulation results is displayed to verify the validity of theoretical analyses. Up to now, few scholars have dealt with this aspect. The obtained results of this manuscript are completely new and complement some previous studies to a certain extent. INDEX TERMS Quaternion-valued cellular neural networks, pseudo almost automorphic solution, global exponentially stability, time delay.