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Stability Conditions for Discrete Hopfield Neural Networks with Delay

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Intelligent Computing (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4113))

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Abstract

The stability of discrete Hopfield neural networks with delay is mainly studied by the use of the state transition equation and the energy function, and some results on the stability are given. The sufficient conditions for the networks with delay converging towards a limit cycle with length 4 are presented. Also, one condition ensuring the network with delay having neither a stable state nor a limit cycle with length 2 is given. The obtained results here partially extend some existing results on stability of discrete Hopfield neural network with delay and without delay.

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© 2006 Springer-Verlag Berlin Heidelberg

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Ma, RN., Bai, GQ. (2006). Stability Conditions for Discrete Hopfield Neural Networks with Delay. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing. ICIC 2006. Lecture Notes in Computer Science, vol 4113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816157_59

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  • DOI: https://doi.org/10.1007/11816157_59

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37271-4

  • Online ISBN: 978-3-540-37273-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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