Positive almost periodicity on SICNNs incorporating mixed delays and D operator
Articles
Chuangxia Huang
Changsha University of Science and Technology
https://orcid.org/0000-0002-0732-226X
Bingwen Liu
Jiaxing University
Hedi Yang
Changsha University of Science and Technology
Jinde Cao
Southeast University
https://orcid.org/0000-0003-3133-7119
Published 2022-04-27
https://doi.org/10.15388/namc.2022.27.27417
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Keywords

positive almost periodic solution
stability
shunting inhibitory cellular neural networks
D operator
mixed delay

How to Cite

Huang C., Liu B., Yang H. and Cao J. (2022) “Positive almost periodicity on SICNNs incorporating mixed delays and D operator”, Nonlinear Analysis: Modelling and Control, 27(4), pp. 719-739. doi: 10.15388/namc.2022.27.27417.

Abstract

This article involves a kind of shunting inhibitory cellular neural networks incorporating D operator and mixed delays. First of all, we demonstrate that, under appropriate external input conditions, some positive solutions of the addressed system exist globally. Secondly, with the help of the differential inequality techniques and exploiting Lyapunov functional approach, some criteria are established to evidence the globally exponential stability on the positive almost periodic solutions. Eventually, a numerical case is provided to test and verify the correctness and reliability of the proposed findings.

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