时滞Hopfield神经网络模型渐进稳定性的新准则 |
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引用本文:黄小红.时滞Hopfield神经网络模型渐进稳定性的新准则[J].经济数学,2010,27(2):36-40 |
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中文摘要:在不考虑激励函数有界,可微和单调的情况下,利用Lyapunov泛函方法,得到了时滞Hopfield神经网络模型的平衡点存在性和全局渐近稳定性的新准则. 研究结果改进和推广了以前相关文献的结果. |
中文关键词:Hopfield神经网络 全局渐近稳定 Lyapunov 泛函 时滞 |
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New Criteria for Asympotical Stability of Hopfield Neural Networks with Delays |
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Abstract:Without assuming the boundedness, differentiality and monotonicity of the activation function, we constructed a Lyapunov function to investigate the stability of Hopfield neural networks with delays. Some new criteria for global asympotical stability of equalibrium have been obtained. The results improve and extend some existing results . |
keywords:Hopfield neural networks global asympotical stability Lyapunov function delay |
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