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Advances in Neural Networks – ISNN 2005

Volume 3496 of the series Lecture Notes in Computer Science pp 69-74

On Stochastic Neutral Neural Networks

  • Yumin ZhangAffiliated withLancaster UniversityResearch Institute of Automation, Southeast University
  • , Lei GuoAffiliated withLancaster UniversityResearch Institute of Automation, Southeast University
  • , Lingyao WuAffiliated withLancaster UniversityResearch Institute of Automation, Southeast University
  • , Chunbo FengAffiliated withLancaster UniversityResearch Institute of Automation, Southeast University

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Abstract

A new type of neutral neural network (NNN) model is established and the corresponding stability analysis is studied in this paper. By introducing the neutral term into the classical neural network model, the inspiration and associate memory phenomenon can be well described and explained. The stochastic Hopfield NNN model (HNNN) is investigated, respectively. Some criteria for mean square exponential stability and asymptotic stable are provided.