Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator

In this paper, we aim to explore the dynamic behaviors of cellular neural networks with D operator and multi-proportional delays. By using the fixed point theorem and some differential inequality techniques, we derive some new sufficient criteria on the existence and exponential stability of weighte...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 2; pp. 1865 - 1879
Main Author Yang, Hedi
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
cellular neural networks
d operator
exponential convergence
proportional delay
weighted pseudo almost periodic solution
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021113

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Summary:In this paper, we aim to explore the dynamic behaviors of cellular neural networks with D operator and multi-proportional delays. By using the fixed point theorem and some differential inequality techniques, we derive some new sufficient criteria on the existence and exponential stability of weighted pseudo almost periodic solutions for the proposed neural networks, which generalize and improve all known consequences in Yang et al. [22] and Yu [Neural Process Lett., 45 (2017), 141-151]. Finally, the effectiveness of the obtained results is illustrated by a numerical simulation example.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021113