| 一类具多比例延时的细胞神经网络的指数稳定性 |
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| 引用本文： | 张迎迎,周立群.一类具多比例延时的细胞神经网络的指数稳定性[J].电子学报,2012,40(6):1159-1163. |
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| 作者姓名： | 张迎迎 周立群 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 基金项目： | 国家自然科学基金，天津市高等学校科技发展基金，天津师范大学博士基金 |
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| 摘 要： | 讨论了一类具多比例延时的细胞神经网络的指数稳定性.利用非线性测度得到了一个保证平衡点存在唯一且指数稳定的充分条件,并给出了解的指数收敛速度.最后验证了结论的正确性并进行了模拟仿真.
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| 关 键 词： | 细胞神经网络 指数稳定 比例延时 非线性测度 收敛速度 |
| 收稿时间： | 2010-06-16 |
Exponential Stability of a Class of Cellular Neural Networks with Multi-Pantograph Delays |
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| ZHANG Ying-ying
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ZHOU Li-qun.Exponential Stability of a Class of Cellular Neural Networks with Multi-Pantograph Delays[J].Acta Electronica Sinica,2012,40(6):1159-1163. |
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| Authors: | ZHANG Ying-ying ZHOU Li-qun |
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| Affiliation: | (School of Mathematics Science,Tianjin Normal University,Tianjin 300387,China) |
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| Abstract: | The exponential stability of a class of cellular neural networks with multi-pantograph delays is studied.In view of nonlinear measure,a sufficient condition is derived for the existence,uniqueness and exponential stability of the equilibrium point.And the method gains the exponential convergent velocity of the solutions.Finally,an example is provided to illustrate effectiveness of the method. |
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| Keywords: | cellular neural networks exponential stability pantograph delay nonlinear measure convergent velocity |
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