| 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, 0(1): 56-61 |
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| 作者姓名： | 全志勇 吴奇锋 |
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| 作者单位： | 湖南大学数学与计量经济学院; |
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| 基金项目： | 国家自然科学基金资助项目(71171077) |
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| 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.
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| 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 |
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| QUAN Zhi-yong,WU Qi-feng. Global Asymptotic Stability of Generalized Cohen-Grossberg Neural Networks with Delays[J]. Mathematics in Economics, 2014, 0(1): 56-61 |
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| Authors: | QUAN Zhi-yong WU Qi-feng |
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| Affiliation: | (Collegeof Mathematics and Econometrics, Hunan University,Changsha, Hunan 410082, China) |
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| 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. |
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| Keywords: | generalized Cohen-Grossherg neural networks global asymptotic stability~ linear matrix in-equaIity~ Ho-meomorphism |
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