具时滞广义Cohen-Grossberg神经网络的全局渐近稳定性
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引用本文:全志勇,吴奇锋.具时滞广义Cohen-Grossberg神经网络的全局渐近稳定性[J].经济数学,2014,(1):56-61
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作者单位
全志勇,吴奇锋 (湖南大学 数学与计量经济学院, 湖南 长沙 410082) 
中文摘要:利用同胚映射原理、线性矩阵不等式和构造的Lyapunov泛函研究了一类Cohen-Grossberg神经网络平衡点的全局渐近稳定性,优化了现有文献中关于全局渐近稳定性的判据.
中文关键词:广义Cohen-Grossberg神经网络  全局渐近稳定性  线性矩阵不等式  同胚
 
Global Asymptotic Stability of Generalized Cohen-Grossberg Neural Networks with Delays
Abstract:By means of Homeomorphism theory, linear matrix inequality and constructing a Lyapunov functional, we studied the global asymptotic stability of the equilibrium point for a class of Cohen-Grossberg neural networks. In our results, the criteria for the global asymptotical stability are better than that in existing papers.
keywords:generalized Cohen-Grossberg neural networks  global asymptotic stability  linear matrix in-equality  Homeomorphism
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