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含脉冲的变时滞静态神经网络的渐近稳定性

Asymptotic Behavior of Delay-dependent Impulsive Static Neural Networks with Time-varying Delays
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摘要 研究了变时滞的静态神经网络在含有脉冲情况下的稳定性.通过构造恰当的Laypunov泛函,利用线性矩阵不等式方法,证明了该模型在延迟依赖条件下的全局渐近稳定性.同时考虑了时滞和脉冲的影响,因而考虑的情况更具普遍性,适用的范围更广.仿真实例说明所得结果适用范围宽、保守性小、易于验证. In this paper,the global asymptotic stability of the static neural networks with impulsive effect and time-varying delays is investigated.By using Lyapunov function and linear matrix inequality approach,the sufficient conditions for delay dependent stability are obtained.An example is given to illustrate the effectiveness of the theoretical results.
作者 孙变妮 高兴宝
机构地区 陕西师范大学数学与信息科学学院
出处 《西安工业大学学报》 CAS 2011年第2期194-198,共5页 Journal of Xi’an Technological University
基金 国家自然科学基金资助项目(6067106310902062) 陕西省自然科学基础研究计划(2006A02)
关键词 静态神经网络 变时滞 脉冲 渐近稳定性 延迟依赖 static neural networks time-varying delays impulsive effect global asymptotic stability delay dependent
分类号 O175 [理学—基础数学]
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参考文献9

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二级参考文献23

  • 1王占山,张化光,吕化.一类延迟神经网络的全局渐近稳定性[J].东北大学学报（自然科学版）,2006,27(2):123-126. 被引量：8
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西安工业大学学报
2011年 第2期

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