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

Hedi Yang; Hedi Yang

doi:10.3934/math.2021113

AIMS Mathematics

2021, Volume 6, Issue 2: 1865-1879. doi: 10.3934/math.2021113

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

Hedi Yang ^,

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

Received: 23 September 2020 Accepted: 16 November 2020 Published: 02 December 2020
MSC : 34K13, 34C25

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.
- cellular neural networks,
- D operator,
- proportional delay,
- weighted pseudo almost periodic solution,
- exponential convergence
Citation: Hedi Yang. Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator[J]. AIMS Mathematics, 2021, 6(2): 1865-1879. 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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