| 时变时滞细胞神经网络的稳定性分析 |
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| 引用本文： | 樊剑武,赵晓华,肖晓丹,秦雅铃.时变时滞细胞神经网络的稳定性分析[J].科技信息,2008(26). |
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| 作者姓名： | 樊剑武 赵晓华 肖晓丹 秦雅铃 |
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| 作者单位： | 秦皇岛燕山大学里仁学院，秦皇岛燕山大学理学院 |
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| 摘 要： | 研究了一类具有变时滞的细胞神经网络的稳定性问题,利用新的Lyapunov Krasovskii函数,给出了系统全局渐近稳定的时滞相关稳定性条件。其结果以线性矩阵不等式的形式给出,可以很容易通过计算机编程实现。并且本文通过对矩阵特征值的应用,得到了一个新的LMI的应用形式,改善了对LMI的应用。最后,数值算例说明了本文结果的优越性。
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| 关 键 词： | 细胞神经网络 线性矩阵不等式 稳定 |
Stability of Cellular Neural Networks with Time Delay |
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| Fan Jianwu Zhao Xiaohua Xiao Xiaodan Qin Yaling.Stability of Cellular Neural Networks with Time Delay[J].Science,2008(26). |
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| Authors: | Fan Jianwu Zhao Xiaohua Xiao Xiaodan Qin Yaling |
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| Institution: | Fan Jianwu1 Zhao Xiaohua2 Xiao Xiaodan1 Qin Yaling1 |
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| Abstract: | The global asymptotic stability problem of Cellular neural networks with time varying delay is investigated in this paper. A new stability condition is present based on Lyapunov Krasovskii method,which is dependent on the size of delays. The results are given in the form of LMI,and the admitted upper bound of the delay can be obtained easily. The time delay independent results can be get,which include some results in the former literature. Finally,a numerical example is given to illustrate the effectiveness of the main results. |
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| Keywords: | Delayed cellular neural networks (DCNNs) LMI stability |
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