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New Filter Design for Static Neural Networks with Mixed Time-Varying Delays

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Abstract

This paper focuses on designing a \( H_{\infty } \) filter for a class of static neural networks with mixed time-varying delays. Here the mixed time-varying delays contain both discrete and distributed time-varying delays. Based on a Lyapunov-Krasovskii functional combined with a zero equation, a suitable \( H_{\infty } \) filter is obtained for the static neural networks model. The filter can be solved by a linear matrix inequality (LMI). Two numerical examples are presented to validate the proposed method. In addition, the obtained filter can be applied to design the control systems with delays.

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Acknowledgment

This work is supported by the Start-up Foundation for Doctors of East China University of Technology (No. DHBK2012201), the Jiangxi foreign science and technology cooperation plan (No. 20132BDH80007), and the National Natural Science Foundation (Nos. 11565002, 51409047, 61463003, 51567001).

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Authors and Affiliations

  1. Jiangxi Province Engineering Research Center of New Energy Technology and Equipment, East China University of Technology, Nanchang, 330013, China

    Guoquan Liu, Shumin Zhou, Xianxi Luo & Keyi Zhang

Authors
  1. Guoquan Liu
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  2. Shumin Zhou
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  3. Xianxi Luo
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  4. Keyi Zhang
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Corresponding author

Correspondence to Guoquan Liu .

Editor information

Editors and Affiliations

  1. Tongji University , Shanghai, China

    De-Shuang Huang

  2. University of Ulsan , Ulsan, Korea (Republic of)

    Kang-Hyun Jo

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Liu, G., Zhou, S., Luo, X., Zhang, K. (2016). New Filter Design for Static Neural Networks with Mixed Time-Varying Delays. In: Huang, DS., Jo, KH. (eds) Intelligent Computing Theories and Application. ICIC 2016. Lecture Notes in Computer Science(), vol 9772. Springer, Cham. https://doi.org/10.1007/978-3-319-42294-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-42294-7_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42293-0

  • Online ISBN: 978-3-319-42294-7

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