| 变时延细胞神经网络模型的全局指数稳定性 |
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| 引用本文： | 彭世国.变时延细胞神经网络模型的全局指数稳定性[J].工程数学学报,2002,19(2):131-134. |
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| 作者姓名： | 彭世国 |
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| 作者单位： | 广东工业大学应用数学系,广州,510090 |
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| 摘 要： | 利用Brouwer不动点定理，推广的Halanay时延微分不等式，以及Dini导数，讨论具有可变时延的细胞神经网络平衡态的存在性和全局指数稳定性，在输出函数较一般的条件下，得到了非常简单实用的差．判别条件。
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| 关 键 词： | 变时延 细胞神经网络 平衡点 全局指数稳定 |
| 文章编号： | 1005-3085(2002)02-0131-04 |
| 修稿时间： | 2001年5月30日 |
Globally Exponential Stability of Cellular Neural Networks with Time-Varying Delay |
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| PENG Shi-guo.Globally Exponential Stability of Cellular Neural Networks with Time-Varying Delay[J].Chinese Journal of Engineering Mathematics,2002,19(2):131-134. |
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| Authors: | PENG Shi-guo |
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| Abstract: | With applications of Brouwer's fixed theorem, extended Halanay's delay differential inequality, and Dini's derivative, the existence of stationary point and globally exponential stability of cellular neural networks with time-varying delay are studied. Some results which are obviously easy to be used are obtained under condition that the output functions are general. |
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| Keywords: | time-varying delay cellular neural networks stationary point globally exponential stability |
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