Research article Special Issues

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

  • 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.

    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

    Related Papers:

  • 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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