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Fuzzy Information and Engineering pp 44–53Cite as

Stability of Periodic Solution to Fuzzy BAM Neural Networks with Time-Varying Delays

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Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

Abstract

In this paper, employing Lyapunov functional and elementary inequality \((2ab\leq ra^2+\frac{1}{r}b^2,\ r>0)\), some sufficient conditions are derived for the existence and uniqueness of periodic solution of fuzzy bi-directional associative memory (BAM) networks with time-varying delays, we obtain some new and simple criteria to ensure global exponential stability of periodic solution. These criteria are important in the design and applications of fuzzy BAM neural networks.

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Author information

Authors and Affiliations

  1. Basic Science Dept., Hunan Inst. of Technology, Hengyang, Hunan, 421002, China

    Qian-hong Zhang

  2. School of Math. Science and Computing Technology, Central South University, Changsha, Hunan, 410083, P.R. China

    Qian-hong Zhang

  3. Dept. of Math., Hunan City University, Yiyang, Hunan, 413000, P.R. China

    Li-hui Yang

Authors
  1. Qian-hong Zhang
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  2. Li-hui Yang
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Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

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© 2009 Springer-Verlag Berlin Heidelberg

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Zhang, Qh., Yang, Lh. (2009). Stability of Periodic Solution to Fuzzy BAM Neural Networks with Time-Varying Delays. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_7

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

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