| 具有时滞的细胞神经网络的全局指数稳定性 |
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| 引用本文： | 赵维锐.具有时滞的细胞神经网络的全局指数稳定性[J].应用数学,2006,19(3):525-530. |
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| 作者姓名： | 赵维锐 |
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| 作者单位： | 哈尔滨工业大学深圳研究生院,广东,深圳,518055;武汉理工大学数学系,湖北,武汉,430070 |
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| 摘 要： | 利用Liapunov函数方法,结合积分不等式技巧,分析了时滞细胞神经网络的平衡点存在的唯一性和全局指数稳定性,保证时滞细胞神经网络全局指数稳定的一个新的充分判据被得到.所得判据比已有文献具有更少的限制,为实际应用提供了方便.
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| 关 键 词： | 细胞神经网络 全局指数稳定 平衡点 时滞 |
| 文章编号： | 1001-9847(2006)03-0525-06 |
| 收稿时间： | 2005-10-28 |
| 修稿时间： | 2005年10月28 |
Global Exponential Stability of Cellular Neural Networks with Delay |
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| ZHAO Wei-rui.Global Exponential Stability of Cellular Neural Networks with Delay[J].Mathematica Applicata,2006,19(3):525-530. |
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| Authors: | ZHAO Wei-rui |
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| Institution: | 1. Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China ; 2. Department of Mathematics , Wuhan University of Technology , Wuhan 430070, China |
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| Abstract: | Employing Lyapunov functional and the technique of integral inequality,the paper presented a new theorem to judge the global exponential stability of cellular neural networks with time delay.A comparison between our results and the previous results admits that our results establish a new set of stability criteria for delayed cellular neural networks.Those conditions are less restrictive than those given in the earlier references. |
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| Keywords: | Cellular neural networks Global exponential stability Delay Equilibrium point |
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