期刊文献+

一类具分布时滞神经网络周期解的存在性和稳定性

The existence and stability of periodic of Cohen-Grossberg solutions neural networks with distributed delays
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摘要 利用Halanay不等式、延拓定理、Cramer法则和一些分析技巧,获得了具分布时滞Cohen-Grossberg神经网络周期解的存在性、唯一性和全局指数稳定性的充分条件,改进和推广了已有文献的一些相关结论. In this paper, we study Cohen-Grossberg neural networks with continuously distributed delays. Based on Halanay inequality, the continuation theorem of the coincidence degree theory, Cramer rule and analytical technique, we obtain some sufficient conditions ensuring the existence, uniqueness, and global exponential stability of periodic solution. We have renewed results and complement previously known results.
作者 黄小红
出处 《周口师范学院学报》 CAS 2009年第2期27-29,共3页 Journal of Zhoukou Normal University
关键词 神经网络 周期解 稳定性 时滞 neural network periodic solution stability delay
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参考文献5

  • 1Wang L, Zou X. Harmless delays in Cohen - Grossberg neural networks[J]. Physics D, 2002, 170:162 - 173. 被引量:1
  • 2Tu F, Liao X. Harmless delays for global asymptotic stability of Cohen - Grossberg neural networks[J]. Chaos, Solitions and Fraetals, 2005, 26: 927-933. 被引量:1
  • 3Li Y K, Zhu L F. Existence and attractivity of periodic solutions to Cohen - Grossbery neural networks with distributed delays[J]. Electronic Journal of Differential Equations, 2005(1) : 1 - 6. 被引量:1
  • 4Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations[M]. Berlin: Springer-Verlag, 1977. 被引量:1
  • 5Liang J, Cao J. Global asymptotic stability of Bi-directional associative memory networks with distributed delays[J]. Appl. Math. Comput, 2004, 152.. 415-424. 被引量:1

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