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不连续激活函数的时滞神经网络的多稳定性

陈晓丰 宋乾坤

陈晓丰, 宋乾坤. 不连续激活函数的时滞神经网络的多稳定性[J]. 应用数学和力学, 2013, 34(4): 383-398. doi: 10.3879/j.issn.1000-0887.2013.04.007
引用本文: 陈晓丰, 宋乾坤. 不连续激活函数的时滞神经网络的多稳定性[J]. 应用数学和力学, 2013, 34(4): 383-398. doi: 10.3879/j.issn.1000-0887.2013.04.007
CHEN Xiao-feng, SONG Qian-kun. Multistability of Delayed Neural Networks With Discontinuous Activations[J]. Applied Mathematics and Mechanics, 2013, 34(4): 383-398. doi: 10.3879/j.issn.1000-0887.2013.04.007
Citation: CHEN Xiao-feng, SONG Qian-kun. Multistability of Delayed Neural Networks With Discontinuous Activations[J]. Applied Mathematics and Mechanics, 2013, 34(4): 383-398. doi: 10.3879/j.issn.1000-0887.2013.04.007

不连续激活函数的时滞神经网络的多稳定性

doi: 10.3879/j.issn.1000-0887.2013.04.007
基金项目: 国家自然科学基金资助项目(61273021)
详细信息
    作者简介:

    陈晓丰(1980—),男,江苏江阴人,讲师, 硕士(E-mail:xxffch@126.com);宋乾坤(1963—),男,教授,博士(通讯作者. E-mail:qiankunsong@163.com).

  • 中图分类号: O175.13

Multistability of Delayed Neural Networks With Discontinuous Activations

  • 摘要: 研究了不连续激活函数的时滞神经网络的多稳定性问题,在所研究的神经网络中,激活函数并不需要是连续的和单调的.给出了判断该神经网络多个平衡点存在及局部指数稳定的充分条件.最后,给出了两个数值仿真例子来验证本文获得结果的有效性和较小的保守性.
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出版历程
  • 收稿日期:  2013-03-18
  • 修回日期:  2013-04-03
  • 刊出日期:  2013-04-15

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