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

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...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 3; pp. 2228 - 2243
Main Authors Guo, Xiaojin, Huang, Chuangxia, Cao, Jinde
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
d operator
global exponential stability
high-order cellular neural network
nonnegative periodic solution
proportional delay
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021135

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021135