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Stability Analysis of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delays and Reaction-Diffusion Terms

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Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

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Abstract

In this paper, we investigate a class of fuzzy Cohen-Grossberg neural networks (FCGNN) with distributed delays and reaction-diffusion terms. Based on the properties of M-matrix, by constructing vector Liapunov functions and applying differential inequalities, the sufficient conditions ensuring existence, uniqueness, and global exponential stability of the equilibrium point of FCGNN with distributed delays and reaction-diffusion terms are obtained.

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Author information

Authors and Affiliations

  1. National Traction Power Laboratory, Southwest Jiaotong University(SWJTU),  

    Weifan Zheng & Jiye Zhang

  2. Information Research Institute, SWJTU, Chengdu, 610031, People’s Republic of China

    Weifan Zheng

Authors
  1. Weifan Zheng
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  2. Jiye Zhang
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

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© 2010 Springer-Verlag Berlin Heidelberg

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Zheng, W., Zhang, J. (2010). Stability Analysis of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delays and Reaction-Diffusion Terms. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_87

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  • DOI: https://doi.org/10.1007/978-3-642-13278-0_87

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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