| 一类具有时滞的广义Hopfield神经网络的动态分析 |
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| 引用本文： | 季策,张化光.一类具有时滞的广义Hopfield神经网络的动态分析[J].东北大学学报(自然科学版),2004,25(3):205-208. |
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| 作者姓名： | 季策 张化光 |
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| 作者单位： | 东北大学信息科学与工程学院,辽宁,沈阳,110004;东北大学信息科学与工程学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金，辽宁省自然科学基金，辽宁省沈阳市自然科学基金 |
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| 摘 要： | 研究了一类具有时滞的广义Hopfield神经网络的动态行为·放宽了对Hopfield神经网络的互连结构必须为对称的要求,考虑一类具有时滞的且互连结构为非对称的广义Hopfield神经网络的稳定性问题·通过构造适当的Lyapunov泛函及扇区条件,给出了平衡点渐近稳定的充分条件·在Hopfield神经网络的设计及实现过程中,这些条件是很实用的·仿真结果进一步证明了结论的有效性·
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| 关 键 词： | 广义Hopfield神经网络 时滞 Lyapunov泛函 渐近稳定性 扇区 |
| 文章编号： | 1005-3026(2004)03-0205-04 |
| 修稿时间： | 2003年9月30日 |
Dynamic Analysis of a Class of Generalized Hopfield Neural Networks with Hysteresis |
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| JI Ce,ZHANG Hua-guang.Dynamic Analysis of a Class of Generalized Hopfield Neural Networks with Hysteresis[J].Journal of Northeastern University(Natural Science),2004,25(3):205-208. |
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| Authors: | JI Ce ZHANG Hua-guang |
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| Institution: | (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China |
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| Abstract: | The dynamic behaviour of a class of generalized Hopfield neural networks with hysteresis is investigated. Relaxing the restriction that an interconnecting structure must be symmetrical in Hopfield neural networks, the stability of a class of the generalized Hopfield neural network models with hysteresis and asymmetric interconnecting structure is considered. The sufficient condition of the asymptotic stability of equilibrium point is given by way of constructing suitable Lyapunov functional and sectorial conditions. In the process of design and implementation of Hopfield neural networks, the condition is very applicable. The simulation results have proved further the effectiveness of the conclusion. |
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| Keywords: | generalized Hopfield neural netwoks hysteresis Lyapunov functional equation asymptotic stability sector |
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