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.

中文翻译：

---

包含 D 算子的 HPDCNN 正伪近周期解的稳定性

本文涉及一类高阶比例延迟细胞神经网络 $D$操作员。首先，我们验证了正解的有界性和全局存在性。此外，通过利用微分不等式技术并借助李雅普诺夫函数方法，获得了一些可测试的条件，以确保所提出模型的伪近周期解的正性和全局指数稳定性。最后，通过数值算例验证了理论研究结果的有效性和可行性。