Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating [formula omitted] operator

Abstract

This article is involved with a class of high-order proportional delayed cellular neural networks incorporating D operator. To start with, we validate the boundedness and the global existence of positive solutions. Moreover, by exploiting differential inequality techniques and with the aid of Lyapunov function method, some testable conditions are obtained to assure the positiveness and global exponential stability on pseudo almost periodic solutions of the proposed models. And lastly, a numerical example is afforded to verify the effectiveness and feasibility of the theoretical findings.