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Global Exponential Stability Analysis of a General Class of Hopfield Neural Networks with Distributed Delays

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Book cover Advances in Swarm Intelligence (ICSI 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6146))

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Abstract

In this paper, based on contraction mapping principle and differential inequality technique, we investigate global exponential stability of a general class of Hopfield neural networks with distributed delays. Some sufficient conditions are derived which ensure the existence, uniqueness, global exponential stability of equilibrium point of the neural networks. Finally, an example is given to illustrate advantages of our approach.

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References

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Author information

Authors and Affiliations

  1. College of Mathematics and Statistics, Hubei Normal University,  

    Chaojin Fu & Wei Liu

  2. School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi, 435000, China

    Meng Yang

Authors
  1. Chaojin Fu
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  2. Wei Liu
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  3. Meng Yang
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Editor information

Editors and Affiliations

  1. Key Laboratory of Machine Perception (MOE), Department of Machine Intelligence, Peking University, 100871, Beijing, China

    Ying Tan

  2. Research and Postgraduate Office, Xi’an Jiaotong-Liverpool University, 215123, Suzhoum, China

    Yuhui Shi

  3. Department of Electrical and Computer Engineering, Engineering Drive 3, 4 Engineering Drive 3, National University of Singapore, 117576, Singapore

    Kay Chen Tan

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© 2010 Springer-Verlag Berlin Heidelberg

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Fu, C., Liu, W., Yang, M. (2010). Global Exponential Stability Analysis of a General Class of Hopfield Neural Networks with Distributed Delays. In: Tan, Y., Shi, Y., Tan, K.C. (eds) Advances in Swarm Intelligence. ICSI 2010. Lecture Notes in Computer Science, vol 6146. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13498-2_51

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  • DOI: https://doi.org/10.1007/978-3-642-13498-2_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13497-5

  • Online ISBN: 978-3-642-13498-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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