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Stability Analysis of Discrete Hopfield Neural Networks Combined with Small Ones

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Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

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Abstract

The stability of Discrete Hopfield neural networks (DHNNs) is very important in various applications, but stability analysis of complex DHNNs is difficult. However, stability analysis of simple and small DHNNs is easy to obtain. In this paper, we study on the stability of DHNNs combined with two small ones that maybe have partially or completely different neurons, and consider the connected weights of different neurons. And some new stability conditions of the DHNNs are obtained by studying the stability of small ones. Those results provide the guided significance for designing a DHNNs and afford benefit for stability analysis of DHNNs. The obtained results provide some theory bases of the application of DHNNs.

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Wu, W., Yuan, J., Li, J., Tan, Q., Yin, X. (2010). Stability Analysis of Discrete Hopfield Neural Networks Combined with Small Ones. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_94

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  • DOI: https://doi.org/10.1007/978-3-642-13278-0_94

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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