Nonnegative periodicity on high-order proportional delayed cellular neural networks involving $ D $ operator-Reference-Cited by-同舟云学术

Nonnegative periodicity on high-order proportional delayed cellular neural networks involving $ D $ operator

Published:2020 Issue:3 Volume:6 Page:2228-2243
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Guo Xiaojin, ,Huang Chuangxia,Cao Jinde, ,

Abstract

<abstract> <p>This paper aims to deal with the dynamic behaviors of nonnegative periodic solutions for one kind of high-order proportional delayed cellular neural networks involving $ D $ operator. By utilizing Lyapunov functional approach, combined with some dynamic inequalities, we establish a new assertion to guarantee the existence and global exponential stability of nonnegative periodic solutions for the addressed networks. The obtained results supplement and improve some existing ones. In addition, the correctness of the analytical results are verified by numerical simulations.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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