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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| Published in | AIMS mathematics Vol. 6; no. 2; pp. 1865 - 1879 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
AIMS Press
01.01.2021
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2473-6988 2473-6988 |
| DOI | 10.3934/math.2021113 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Yang, Hedi |
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| CorporateAuthor | School of Mathematics and Statistics, Changsha University of Science and Technology; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha 410114, China |
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| SubjectTerms | cellular neural networks d operator exponential convergence proportional delay weighted pseudo almost periodic solution |
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| Title | Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator |
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