期刊文献+

具有分布时滞的非自治Cohen-Grossberg神经网络稳定性研究 被引量:1

Boundedness and Exponential Stability for Nonautonomous Cohen-Grossberg Neural Networks with Distributed Delays
原文传递
导出
摘要 对具有分布时滞的非自治Cohen-Grossberg神经网络进行了研究.通过构造适当的Lyapunov函数,利用不等式分析方法,引入多参数,得到了一系列解的一致有界性且最终有界性和全局指数稳定性的判别准则. In this paper, nonautonomous Cohen-Grossberg neural networks with distributed delays are investigated. By applying the inequality analysis technique, introducing ingeniously many real parameters and constructing new Lyapunov functions, we establish a series of new and useful criteria on the ultimate boundedness and global exponential stability of solutions.
出处 《数学的实践与认识》 CSCD 北大核心 2012年第22期206-214,共9页 Mathematics in Practice and Theory
关键词 Cohen—Grossberg神经网络 分布时滞 一致有界 全局指数稳定 cohen-grossberg neural networks distributed delays ultimate boundedness global exponential stability of solutions
  • 相关文献

参考文献7

  • 1Forti M. On global asymptotic stability of a class of nonlinear system arising in neural networks theory[J]. J Differential Equations, 1994(113): 246-264.
  • 2Zhao W. Dynamics of Cohen-Grossberg neural network with variable coefficients and time-varying delays[J]. Nonlinear Analysis, 2007.
  • 3Wu W, Cui B T, Huang M. Global asymptolic stability of delayed Cohen-Grossberg neural net- works[J]. Chaos, Solitons and Fractals, 2007(34): 872-877.
  • 4Huang T W, Li C D, Chen G. Stability of Cohen-Grossberg neural networks with unbounded distributed delays[J]. Chaos solitons and fractals, 2007(34): 992-996.
  • 5Huang T W, Andrew Chan Y, Huang J D Cao. Stability of Cohen-Grossbery neural network via nonsmooth analysis[J]. Neural networks, 2007(20): 810-818.
  • 6Wu W, Cui B T, Lou X Y. Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delays[J]. Neurocomputing, 2007(70): i085-I088.
  • 7Zeng Z G, Wang J. Global exponential stability of recurrent neural networks with time-varying delays in the presence of strong external stimulation[J]. Neural networks, 2006(19): 1528-1537.

同被引文献9

引证文献1

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部