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离散时间型复值神经网络的全局指数周期性

胡进 宋乾坤

胡进, 宋乾坤. 离散时间型复值神经网络的全局指数周期性[J]. 应用数学和力学, 2013, 34(9): 929-940. doi: 10.3879/j.issn.1000-0887.2013.09.006
引用本文: 胡进, 宋乾坤. 离散时间型复值神经网络的全局指数周期性[J]. 应用数学和力学, 2013, 34(9): 929-940. doi: 10.3879/j.issn.1000-0887.2013.09.006
HU Jin, SONG Qian-kun. Global Exponential Periodicity of Discrete-Time Complex-Valued Neural Networks With Time-Delays[J]. Applied Mathematics and Mechanics, 2013, 34(9): 929-940. doi: 10.3879/j.issn.1000-0887.2013.09.006
Citation: HU Jin, SONG Qian-kun. Global Exponential Periodicity of Discrete-Time Complex-Valued Neural Networks With Time-Delays[J]. Applied Mathematics and Mechanics, 2013, 34(9): 929-940. doi: 10.3879/j.issn.1000-0887.2013.09.006

离散时间型复值神经网络的全局指数周期性

doi: 10.3879/j.issn.1000-0887.2013.09.006
基金项目: 国家自然科学基金资助项目(61273021); 重庆市自然科学基金(重点)资助项目(cstc2013jjB40008)
详细信息
    作者简介:

    胡进(1980—),男,湖北襄阳人, 讲师,博士(E-mail: victorjhu@gmail.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

Global Exponential Periodicity of Discrete-Time Complex-Valued Neural Networks With Time-Delays

Funds: The National Natural Science Foundation of China(61273021)
  • 摘要: 复值神经网络是神经网络的一个分支,也是最近几年快速发展的一个领域,在图像处理、模式识别、联想记忆等方面有广泛的应用.目前,对于复值神经网络动力学方面的研究主要集中在稳定性上,对于离散时间型复值神经网络周期性的研究还几乎没有.首先将连续时间型复值神经网络模型离散化得到离散时间型复值神经网络模型,然后利用M矩阵理论、不等式技巧和Lyapunov方法,获得了全局指数周期性的一个充分条件,最后给出的具有仿真的数值例子验证了获得结果的有效性.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2013-06-13
  • 修回日期:  2013-06-22
  • 刊出日期:  2013-09-15

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