| 时变时滞细胞神网络的稳定性分析 |
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| 引用本文： | 李秀珍,王艳红,周湛通,孟祥庭.时变时滞细胞神网络的稳定性分析[J].吉林工程技术师范学院学报,2010,26(6). |
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| 作者姓名： | 李秀珍 王艳红 周湛通 孟祥庭 |
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| 作者单位： | 1. 吉林工程技术师范学院,应用理学院,吉林,长春,130052
2. 河北科技大学,电气信息学院,河北,石家庄,050054 |
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| 摘 要： | 本文研究了一类具有时变时滞的细胞神经网络的稳定性问题,利用新的Layapunov 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,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 |
Analysis on the Stability of Cellular Neural Networks with Time-varying Delay |
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| LI Xiu-zhen,WANG Yan-hong,ZHOU Zhan-tong,MENG Xiang-ting.Analysis on the Stability of Cellular Neural Networks with Time-varying Delay[J].Journal of Jilin Teachers Institute of Engineering and Technology(Natural Sciences Edition),2010,26(6). |
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| Authors: | LI Xiu-zhen WANG Yan-hong ZHOU Zhan-tong MENG Xiang-ting |
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| Institution: | 1.School of Applied Sciences; Jilin Teachers Institute of Engineering and Technology; Changchun Jilin 130052; China; 2. Institute of Electrical Engineering and Information Technology; Hebei University of Science and Technology; Shijiazhuang Hebei 050054; China); |
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| Abstract: | The stability problem of cellular neural networks with time-varying delay is investigated in this paper. A delay-dependent stability condition of global asymptotic stability of system is present based on Layapunov Krasovskii method,and the results are given in the form of LMI. A new application form of LMI is obtained through using matrix eigenvalue,and then the application of LMI is improved. Finally,a numerical example is given to illustrate the effectiveness of the main results. |
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| Keywords: | cellular neural networks LMI stability |
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