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Weighted pseudo-almost automorphic solutions of high-order Hopfield neural networks with neutral distributed delays

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Abstract

In this paper, a class of high-order Hopfield neural networks with neutral distributed delays is considered. Some sufficient conditions are obtained for the existence, uniqueness and global exponential stability of weighted pseudo-almost automorphic solutions for this class of networks by employing the Banach fixed-point theorem and differential inequality techniques. The results of this paper are completely new. An example is given to show the effectiveness of the proposed method and results.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University, Kunming, 650091, Yunnan, People’s Republic of China

    Lili Zhao, Yongkun Li & Bing Li

Authors
  1. Lili Zhao
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  2. Yongkun Li
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  3. Bing Li
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Corresponding author

Correspondence to Yongkun Li.

Additional information

This work is supported by the National Natural Sciences Foundation of People’s Republic of China under Grant 11361072.

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Zhao, L., Li, Y. & Li, B. Weighted pseudo-almost automorphic solutions of high-order Hopfield neural networks with neutral distributed delays. Neural Comput & Applic 29, 513–527 (2018). https://doi.org/10.1007/s00521-016-2553-8

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  • DOI: https://doi.org/10.1007/s00521-016-2553-8

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