Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator

Abstract

In this paper, we aim to explore the dynamic behaviors of cellular neural networks with D operator and multi-proportional delays. By using the fixed point theorem and some differential inequality techniques, we derive some new sufficient criteria on the existence and exponential stability of weighted pseudo almost periodic solutions for the proposed neural networks, which generalize and improve all known consequences in Yang et al. [22] and Yu [Neural Process Lett., 45 (2017), 141-151]. Finally, the effectiveness of the obtained results is illustrated by a numerical simulation example.

Keywords

• cellular neural networks
• d operator
• proportional delay
• weighted pseudo almost periodic solution
• exponential convergence