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

Abstract

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

• Quaternion-valued cellular neural networks
• Distributed delay
• Pseudo almost periodic solutions
• Exponent stability