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Asymptotic Behaviors for Non-autonomous Difference Neural Networks with Impulses and Delays

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Abstract

In this paper, the asymptotic behaviors of non-autonomous difference neural network with impulses and distributed delays are studied by using difference inequality and properties of \(\mathcal {M}\)-matrix. Some new results on attracting set and periodic solution of networks are obtained.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (11271270, 11501065), Scientific Research Fund of Sichuan Provincial Education Department (16TD0029), the Natural Science Foundation of Chongqing (cstc2015jcyjA00033), Project of Leshan Normal University (Z1324) and the Doctoral Foundation of Chongqing Jiaotong University (2014kjc-II-019).

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Authors and Affiliations

  1. College of Mathematics and Information Science, Leshan Normal University, Leshan, 614004, China

    Shujun Long

  2. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China

    Bing Li

Authors
  1. Shujun Long
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  2. Bing Li
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Corresponding author

Correspondence to Bing Li .

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Editors and Affiliations

  1. The Chinese Academy of Sciences, Beijing, China

    Long Cheng

  2. Huazhong University of Science and Tech., Wuhan, Jiangsu, China

    Qingshan Liu

  3. Russian Academy of Sciences, SPIIRAS, St. Petersburg, Russia

    Andrey Ronzhin

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© 2016 Springer International Publishing Switzerland

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Long, S., Li, B. (2016). Asymptotic Behaviors for Non-autonomous Difference Neural Networks with Impulses and Delays. In: Cheng, L., Liu, Q., Ronzhin, A. (eds) Advances in Neural Networks – ISNN 2016. ISNN 2016. Lecture Notes in Computer Science(), vol 9719. Springer, Cham. https://doi.org/10.1007/978-3-319-40663-3_17

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  • DOI: https://doi.org/10.1007/978-3-319-40663-3_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40662-6

  • Online ISBN: 978-3-319-40663-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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