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International Symposium on Neural Networks

ISNN 2005: Advances in Neural Networks – ISNN 2005 pp 253–258Cite as

Stability Conditions for Discrete Neural Networks in Partial Simultaneous Updating Mode

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

Abstract

The stability analysis of discrete Hopfield neural networks not only has an important theoretical significance, but also can be widely used in the associative memory, combinatorial optimization, etc. The dynamic behavior of asymmetric discrete Hopfield neural network is mainly studied in partial simultaneous updating mode, and some new simple stability conditions of the networks are presented by using the Lyapunov method and some analysis techniques. Several new sufficient conditions for the networks in partial simultaneous updating mode converging towards a stable state are obtained. The results established here improve and extend the corresponding results given in the earlier references. Furthermore, we provide one method to analyze and design the stable discrete Hopfield neural networks.

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References

  1. Hopfield, J.J.: Neural Networks, Physical Systems Emergent Collective Computational Abilities. Proc. Nat. Acad. Sci. USA 79, 2554–2558 (1982)

    Article  MathSciNet  Google Scholar 

  2. Xu, Z., Kwong, C.P.: Global Convergence and Asymptotic Stability of Asymmetrical Hopfield Neural Networks. J. Mathematical Analysis and Applications 191, 405–426 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  3. Liao, X., Chang, L., Shen, Y.: Study on Stability of Discrete-time Hopfield Neural Networks. Acta Automatica Sinica 25, 721–727 (1999)

    MathSciNet  Google Scholar 

  4. Cernuschi Frias, B.: Partial Simultaneous Updating in Hopfield Memories. IEEE Trans. Syst., Man, Cybern. 19, 887–888 (1989)

    Article  Google Scholar 

  5. Lee, D.: New Stability Conditions for Hopfield Neural Networks in Partial Simultaneous Update Mode. IEEE, Trans. Neural Networks 10, 975–978 (1999)

    Article  Google Scholar 

  6. Ma, R., Zhang, Q., Xu, J.: Convergence of Discrete-time Cellular Neural Networks. Chinese J. Electronics 11, 352–356 (2002)

    Google Scholar 

  7. Ma, R., Xi, Y., Guo, J.: Dynamic Behavior of Discrete Hopfield Neural Networks. Asian J. Information Technology 3, 9–15 (2005)

    Google Scholar 

  8. Ma, R., Xi, Y., Gao, H.: Stability of Discrete Hopfield Neural Networks with Delay in Serial Mode. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol. 3173, pp. 126–131. Springer, Heidelberg (2004)

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Author information

Authors and Affiliations

  1. Telecommunication Engineering Institute, Air Force Engineering University, Xi’an, 710071, China

    Runnian Ma

  2. University Key Lab of Information Sciences and Engineering, Dalian University, 111662, China

    Runnian Ma

  3. School of Highway, Chang’an University, Xi’an, 710064, China

    Shengrui Zhang

  4. School of Humanity Law and Economics, Northwestern Polytechnical University, Xi’an, 710072, China

    Sheping Lei

Authors
  1. Runnian Ma
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  2. Shengrui Zhang
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  3. Sheping Lei
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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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Cite this paper

Ma, R., Zhang, S., Lei, S. (2005). Stability Conditions for Discrete Neural Networks in Partial Simultaneous Updating Mode. 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_39

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  • DOI: https://doi.org/10.1007/11427391_39

  • 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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