Positive stability analysis of pseudo almost periodic solutions for HDCNNs accompanying $ D $ operator

Abstract

<p style='text-indent:20px;'>In this study, the stable dynamics of a kind of high-order cellular neural networks accompanying <inline-formula><tex-math id="M1">\begin{document}$ D $\end{document}</tex-math></inline-formula> operators and mixed delays are analyzed. The global existence of bounded positive solutions is substantiated by applying some novel differential inequality analyses. Meanwhile, by exploiting Lyapunov function method, some sufficient criteria are gained to validate the positiveness and globally exponential stability of pseudo almost periodic solutions on the addressed networks. In addition, computer simulations are produced to test the derived analytical findings.</p>