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Global Exponential Robust Stability of Hopfield Neural Networks with Reaction-Diffusion Terms

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Advanced Intelligent Computing Theories and Applications (ICIC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6215))

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Abstract

Some sufficient conditions ensuring existence, uniqueness for a class of interval Hopfield neural networks with unbounded delays and reaction-diffusion terms are proposed in this paper. The obtained conditions including reaction-diffusion terms are less conservative than the existing results. The application of the conditions in practice is illustrated by an example.

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Author information

Authors and Affiliations

  1. Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, 610031, China

    Xiaohui Xu & Jiye Zhang

Authors
  1. Xiaohui Xu
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  2. Jiye Zhang
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Editor information

Editors and Affiliations

  1. Intelligent Computing Laboratory, Chinese Academy of Sciences, P.O. Box 1130, 230031, Hefei, Anhui, China

    De-Shuang Huang

  2. Department of Biomedical Informatics, Vanderbilt University Medical Center, 2,525 West End Avenue, Suite 600, 37203, Nashville, TN, USA

    Zhongming Zhao

  3. Electrical and Electronics Department, Polytechnic of Bari, Via Orabona 4, 70125, Bari, Italy

    Vitoantonio Bevilacqua

  4. Faculty of Engineering, District University Francisco José de Caldas, Cra. 7a,No. 40-53, Fifth Floor, Bogotá, Colombia

    Juan Carlos Figueroa

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© 2010 Springer-Verlag Berlin Heidelberg

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Xu, X., Zhang, J. (2010). Global Exponential Robust Stability of Hopfield Neural Networks with Reaction-Diffusion Terms. In: Huang, DS., Zhao, Z., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2010. Lecture Notes in Computer Science, vol 6215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14922-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-14922-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14921-4

  • Online ISBN: 978-3-642-14922-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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