Algebraic conditions of stability for Hopfield neural network

Xiaoxin Liao, Xuerong Mao, Jun Wang, Zhigang Zeng

Research output: Contribution to journalReview articlepeer-review

5 Citations (Scopus)


Using the relationship between the resistance, capacitance and current in Hopfield neural network, and the properties of sigmoid function, this paper gives the terse, explicit algebraical criteria of global exponential stability, global asymptotical stability and instability. Then this paper makes clear the essence of the stability that Hopfield defined, and provides a theoretical foundation for the design of a network. Copyright by Science in China Press 2004.

Original languageEnglish
Pages (from-to)113-125
Number of pages13
JournalScience in China, Series F: Information Sciences
Issue number1
Publication statusPublished - Feb 2004
Externally publishedYes


  • Activation function
  • Hopfield neural network
  • Physical parameter
  • Stability


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