| 脉冲高阶时滞Hopfield型神经网络的稳定性分析 |
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| 引用本文： | 邢廷炎,蒋文杰,江雯倩,张楠,王拓,张蕾.脉冲高阶时滞Hopfield型神经网络的稳定性分析[J].东南大学学报(自然科学版),2009(Z1). |
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| 作者姓名： | 邢廷炎 蒋文杰 江雯倩 张楠 王拓 张蕾 |
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| 作者单位： | 中国地质大学(北京)信息工程学院; |
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| 摘 要： | 针对进化过程中顺序的突然改变导致无法用纯连续或纯粹的离散神经网络来描述的问题,给出了脉冲高阶时滞Hopfield型神经网络模型,并得到时滞脉冲系统渐近稳定的结果.然后,利用该结果和李亚普诺夫方法以及数学分析技术分析网络的稳定性.在激励函数连续、单调有界的条件下,给出了保证脉冲高阶时滞Hopfield型神经网络全局一致渐近稳定的充分条件.这些条件含有许多可调参数,为神经网络提供灵活的设计与分析;并且易于检验,适用于分析生物神经系统的动态特性或设计全局稳定的神经网络.最后,通过仿真实例说明了所得结果的有效性.
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| 关 键 词： | 渐近稳定 脉冲 神经网络 时滞 |
Stability analysis of impulsive high-order Hopfield-type neural networks with delays |
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| Xing Tingyan Jiang Wenjie Jiang Wenqian Zhang Nan Wang Tuo Zhang Lei,Beijing ,China.Stability analysis of impulsive high-order Hopfield-type neural networks with delays[J].Journal of Southeast University(Natural Science Edition),2009(Z1). |
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| Authors: | Xing Tingyan Jiang Wenjie Jiang Wenqian Zhang Nan Wang Tuo Zhang Lei Beijing China |
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| Institution: | Xing Tingyan Jiang Wenjie Jiang Wenqian Zhang Nan Wang Tuo Zhang Lei(School of Information Engineering,China University of Geosciences(Beijing),Beijing 100083,China) |
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| Abstract: | Aiming at the problem that the evolutionary processes which have sequential abrupt changes cannot be appropriately described by pure continuous or pure discrete neural network model,a model of impulsive high-order Hopfield type neural networks with delays is formulated.And a result for the asymptotic stability of impulsive systems with delays is given.By using this result,the Lyapunov method and mathematical analysis techniques,the stability of the networks is analyzed.The sufficient conditions guaranteeing... |
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| Keywords: | asymptotic stability impulse neural networks delay |
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