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Attracting Sets of Non-autonomous Complex-Valued Neural Networks with both Distributed and Time-Varying Delays

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Advances in Neural Networks - ISNN 2017 (ISNN 2017)

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Abstract

In this paper, we investigate the attracting sets of a class of complex-valued neural networks by using integro-difference inequality and properties of the M-matrix. To be specific, we consider both time-varying and infinite distributed delays in complex-valued neural networks and establish some sufficient conditions by setting up integro-differential inequality and applying conjugate system of complex-valued neural networks. Some new results on attracting sets of neural networks are obtained. Simulation verifies our results.

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Acknowledgment

This work was supported by the National Key Research and Development Program of China (No. 2016YFB0800601) and the National Natural Science Foundation of China (No. 61472331).

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China

    Zhao Yang & Xiaofeng Liao

Authors
  1. Zhao Yang
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  2. Xiaofeng Liao
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Corresponding author

Correspondence to Xiaofeng Liao .

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Editors and Affiliations

  1. Dalian University of Technology, Dalian, China

    Fengyu Cong

  2. City University of Hong Kong, Kowloon Tong, Hong Kong

    Andrew Leung

  3. Chinese Academy of Sciences, Beijing, China

    Qinglai Wei

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Yang, Z., Liao, X. (2017). Attracting Sets of Non-autonomous Complex-Valued Neural Networks with both Distributed and Time-Varying Delays. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10261. Springer, Cham. https://doi.org/10.1007/978-3-319-59072-1_65

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  • DOI: https://doi.org/10.1007/978-3-319-59072-1_65

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59071-4

  • Online ISBN: 978-3-319-59072-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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