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具分布参数的随机Hopfield神经网络的镇定 被引量:7

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摘要 研究具分布参数的随机Hopfield神经网络的稳定性.主要思想是将所考虑的系统的解关于空间变量的积分视为相应的由随机常微分方程描述的神经网络的解过程来讨论其稳定性,具体实施方法是运用Ito微分公式沿系统对构造的关于空间变量平均的Lyapunov函数进行微分.克服了研究具分布参数随机系统无相应Ito公式的困难.目前文献尚未见有关分布参数随机神经网络的稳定与镇定的相应结果.
出处 《中国科学(E辑)》 CSCD 北大核心 2004年第6期619-628,共10页 Science in China(Series E)
基金 国家自然科学基金(批准号:69874015 6993403) 广东省自然科学基金(批准号:011629)资助项目
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参考文献12

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共引文献25

同被引文献77

  • 1廖晓昕,杨叔子,程时杰,付予力.Stability of general neural networks with reaction-diffusion[J].Science in China(Series F),2001,44(5):389-395. 被引量:8
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