| 多时变时滞细胞神经网络的全局渐近稳定性分析 |
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| 引用本文： | 陈钢,王占山. 多时变时滞细胞神经网络的全局渐近稳定性分析[J]. 沈阳理工大学学报, 2006, 25(5): 5-8 |
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| 作者姓名： | 陈钢 王占山 |
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| 作者单位： | 1. 沈阳理工大学,理学院,辽宁,沈阳,110168
2. 沈阳理工大学 |
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| 摘 要： | 研究了多时变时滞细胞神经网络的全局渐近稳定问题.给出了多时变时滞细胞神经网络平衡点唯一性和全局渐近稳定的新判据.这些新判据考虑了神经元激励和抑制的影响,且易于验证.仿真结果验证了所得结论的有效性.
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| 关 键 词： | 细胞神经网络 全局渐近稳定 多时变时滞 |
| 文章编号： | 1003-1251(2006)05-0005-04 |
| 收稿时间： | 2005-10-12 |
| 修稿时间： | 2005-10-12 |
Analysis on the Global Asymptotic Stability of Cellular Neural Networks with Multiple Time Varying Delays |
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| CHEN Gang,WANG Zhan-shan. Analysis on the Global Asymptotic Stability of Cellular Neural Networks with Multiple Time Varying Delays[J]. Transactions of Shenyang Ligong University, 2006, 25(5): 5-8 |
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| Authors: | CHEN Gang WANG Zhan-shan |
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| Affiliation: | Shenyang Ligong University, Shenyang 110168, China |
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| Abstract: | Global asymptotic stability(GAS) is discussed for cellular neural networks with multiple time varying delays.Several new criteria are given to ascertain the uniqueness and global asymptotic stability of the equilibrium point for the CNN with multiple time varying delays.The new criteria are generalized and improved upon the previous ones,and can eliminate the difference between the neuronal excitatory and inhibitory effects.An example is presented to demonstrate the effectiveness and features of the new stability criteria. |
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| Keywords: | cellular neural networks(CNN) global asymptotic stability multiple time varying delays |
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