东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (12): 1307-1310.DOI: -

• 论著 • 上一篇    下一篇

多时滞和分布时滞细胞神经网络的全局渐近稳定性

王占山;张化光;关焕新;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-12-15 发布日期:2013-06-23
  • 通讯作者: Wang, Z.-S.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60534010,60572070,60521003);;

Global asymptotical stability for cellular neural networks with both multiple and distributed delays

Wang, Zhan-Shan (1); Zhang, Hua-Guang (1); Guan, Huan-Xin (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-12-15 Published:2013-06-23
  • Contact: Wang, Z.-S.
  • About author:-
  • Supported by:
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摘要： 应用Young不等式技术和构造适当的Lyapunov函数,研究了同时具有多时变时滞和分布时滞的细胞神经网络的全局渐近稳定性问题.得出了时滞细胞神经网络的平衡点全局渐近稳定的几个充分判据.与现有一些文献中的结果相比,所得到的这些判据具有保守性小,适用范围宽等特点.仿真示例验证了所得结果的有效性.

关键词: 全局渐近稳定, 细胞神经网络, 分布时滞, 多时滞, Lyapunov函数

Abstract: Global asymptotical stability of a class of cellular neural networks with both multiple time-varying and distributed delays is studied on the basis of Young inequality approach and properly built Lyapunov function. Some new sufficient criteria are thus given to ensure the global asymptotical stability for the equilibrium points in relevant cellular neural networks. Compared with some results in earlier works, the obtained criteria are less conservative and wider in application. A simulation example verifies the effectiveness of what are concluded from the study.

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