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Global Exponential Stability of Discrete Time Hopfield Neural Networks with Delays

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Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

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Abstract

By utilizing the Lyapunov function method to analyze stability of discrete time Hopfield neural networks with delays and obtain some new sufficient conditions for the global exponential stability of the equilibrium point for such networks. It is shown that the proposed conditions rely on the connection matrices and network parameters. The presented conditions are testable and less conservative than some given in the earlier references.

The project supported by the National Natural Science Foundation of China (Grant Nos:60403001,60403002) and China Postdoctoral Science Foundation

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Authors and Affiliations

  1. University Key Lab of Information Science & Engineering, Dalian University, Dalian, 116622, China

    Qiang Zhang & Xiaopeng Wei

  2. School of Computer Science and Engineering, Wenzhou Normal College, Wenzhou, 325027, China

    Wenbing Liu

Authors
  1. Qiang Zhang
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  2. Wenbing Liu
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  3. Xiaopeng Wei
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. The Key Laboratory of Optoelectric Technology & Systems, Ministry of Education, China

    Xiaofeng Liao

  3. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhang, Q., Liu, W., Wei, X. (2005). Global Exponential Stability of Discrete Time Hopfield Neural Networks with Delays. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_29

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  • DOI: https://doi.org/10.1007/11427391_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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