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山东大学学报(理学版) ›› 2014, Vol. 49 ›› Issue (1): 80-85.doi: 10.6040/j.issn.1671-9352.0.2013.171

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带有阈值的广义模糊双向联想记忆#br# 网络的稳定性分析

陈桂英   

  1. 聊城大学数学科学学院, 山东 聊城 252059
  • 收稿日期:2013-04-10 出版日期:2014-01-20 发布日期:2014-01-15
  • 作者简介:陈桂英(1979- ),女,讲师,博士研究生,主要研究方向为模糊动力系统与神经网络. Email:chengquiying@126.com
  • 基金资助:

    国家自然科学基金资助项目(11171374);聊城大学基金资助项目(XD071042)

Stability analysis of generalized fuzzy bidirectional associative #br# memory networks with thresholds

CHEN Gui-ying   

  • Received:2013-04-10 Online:2014-01-20 Published:2014-01-15

摘要:

基于模糊取大算子“∨”和一类t模“T”建立了带有阈值的∨T型模糊双向联想记忆网络,证明了当T满足李普希兹条件时,系统的平衡点是Lyapunov稳定的,并给出系统为结构稳定的一个充分条件。最后用实例验证了结论的正确性。

关键词: T模糊双向联想记忆网络;阈值;Lyapunov稳定性;吸引子;结构稳定性, &or

Abstract:

Based on the fuzzy operator “∨” and a tnorm “T”, a generalized dynamical model named the fuzzy bidirectional associative memory networks with thresholds was set up. It is shown that the equilibrium of the system is Lyapunov stable if T satisfies Lipschitz condition. A sufficient condition for the system to be structurally stable was also proposed. Finally, an example was given to demonstrate our conclusion.

Key words: equilibrium, threshold, ∨T fuzzy bidirectional associative memory networks, Lyapunov stability, structural stability

中图分类号: 

  • O159
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