| 脉冲时滞BAM神经网络的稳定性分析 |
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| 引用本文： | 王芬,吴怀宇.脉冲时滞BAM神经网络的稳定性分析[J].工程数学学报,2011(6):719-726. |
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| 作者姓名： | 王芬 吴怀宇 |
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| 作者单位： | 冶金工业过程系统科学湖北省重点实验室(武汉科技大学);武汉科技大学理学院; |
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| 基金项目： | The National Natural Science Foundation of China(61075087); the Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Y201115); the Young Science Foundation of Wuhan University of Science and Technology(2011xz029) |
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| 摘 要： | 本文研究了具变时滞和脉冲的BAM神经网络模型.利用M矩阵理论、反证法,得到了脉冲时滞BAM神经网络平衡解的存在性、唯一性和全局指数稳定性成立的充分条件.一个数值例子证明的所得结论的有效性.
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| 关 键 词： | 双向联想记忆神经网络 稳定性 时滞 脉冲 |
Stability Analysis of BAM Neural Networks with Delays and Impulses |
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| WANG Fen,WU Huai-yu.Stability Analysis of BAM Neural Networks with Delays and Impulses[J].Chinese Journal of Engineering Mathematics,2011(6):719-726. |
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| Authors: | WANG Fen WU Huai-yu |
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| Affiliation: | WANG Fen1,2,WU Huai-yu1 (1- Hubei Province Key Laboratory of System Science in Metallurgical Process,Wuhan University of Science and Technology,Wuhan 430081,2- College of Science,Wuhan 430081) |
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| Abstract: | In this paper, a class of BAM neural networks with time-varying delays and impulses is studied. In terms of the M-matrix theory and reduction to absurdity, we present sufficient conditions which guarantee the existence, uniqueness and global exponential stability of the equilibrium point for the addressed neural networks. A numerical example is provided to illustrate the effectiveness of the obtained results. |
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| Keywords: | BAM neural networks stability time delay impulse |
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