| 时延细胞神经网络的全局稳定性 |
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| 引用本文： | 陈右铭,张兆扬.时延细胞神经网络的全局稳定性[J].仪器仪表学报,2004,25(Z2):141-144. |
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| 作者姓名： | 陈右铭 张兆扬 |
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| 作者单位： | Chen Youming（School of Communication and Information Engineering,
Shanghai University, Shanghai 200072 , China）
Zhang Zhaoyang（School of Communication and Information Engineering,
Shanghai University, Shanghai 200072 , China） |
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| 摘 要： | 给出了时延细胞神经网络全局稳定性的一个新的充分条件.通过构造Lyapunov泛函并结合对Young不等式分析,研究了一类带时延的细胞神经网络的全局稳定性问题.经理论分析和数学推导表明,全局稳定性的一个简单充分判据与时延无关,并具有实可调参数.所得的结果对于设计带时延的细胞神经网络有重要的指导意义.
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| 关 键 词： | 细胞神经网络 带时延的细胞神经网络 全局稳定性 Lyapunov泛函 平衡点 |
Global Asymptotic Stability of the DCNNs |
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| CHEN Youming,ZHANG Zhaoyang.Global Asymptotic Stability of the DCNNs[J].Chinese Journal of Scientific Instrument,2004,25(Z2):141-144. |
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| Authors: | CHEN Youming ZHANG Zhaoyang |
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| Abstract: | It gives a new sufficient condition ensuring global asymptotic stability for cellular neural networks with delay. The problem of global asymptotic stability is addressed by means of constructing suitable Lyapunov functional and combining with Young inequality analysis. The simple condition giving for global asymptotic stability is independent of delays and possesses adjustable real parameter. This condition can be used to design globally stable networks, which is of theoretical and applicable important significance in signal processing. |
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| Keywords: | Cellular neural networks Delayed cellular neural networks Global asymptotic stability Lyapunov functional Equilibrium |
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