| 具有摄动平衡点多时滞细胞神经网络的稳定性分析 |
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| 引用本文： | 付祎,何汉林.具有摄动平衡点多时滞细胞神经网络的稳定性分析[J].海军工程大学学报,2008,20(6). |
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| 作者姓名： | 付祎 何汉林 |
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| 作者单位： | 海军工程大学,理学院,武汉430033 |
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| 基金项目： | 国家自然科学基金资助项目
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| 摘 要： | 通过构造适当的Lyapunov泛函和使用LMI技术,分别研究了多时滞细胞神经网络及对应的参数摄动系统的稳定性,得到了不要求互联矩阵对称及激活函数可微和单调下,易于计算及仿真的用线性矩阵不等式形式表示的确保系统稳定的若干充分条件.对激活函数及平衡点作出相应范数有界假设,得出了系统稳定平衡点间的距离估计.仿真实例充分验证了结果的有效性.
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| 关 键 词： | 多时滞细胞神经网络 摄动平衡点 Lyapunov泛函 |
Stability analysis of multiple time-delayed cellular neural networks with perturbation equilibrium |
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| FU Yi,HE Han-lin.Stability analysis of multiple time-delayed cellular neural networks with perturbation equilibrium[J].Journal of Naval University of Engineering,2008,20(6). |
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| Authors: | FU Yi HE Han-lin |
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| Institution: | College of Science;Naval Univ.of Engineering;Wuhan 430033;China |
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| Abstract: | The stability of multiple time-delayed cellular neural networks was studied by means of a suitable Lyapunov-Krasovskii functional and the linear matrix inequality(LMI).Without assuming any symmetry of the interconnecting matrix and differentiability or montonicity of the signal function,the sufficient conditions for the stability of multiple time-delayed cellular neural networks and the corresponding uncertain parameter systems were obtained,which were easy to calculate and simulate.Assuming norm-bounded of... |
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| Keywords: | LMI |
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