| 不确定区间时滞Markov跳变BAM神经网络的鲁棒指数稳定性 |
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| 引用本文： | 邢军,殷丽文,焦明华. 不确定区间时滞Markov跳变BAM神经网络的鲁棒指数稳定性[J]. 鞍山钢铁学院学报, 2010, 0(2): 113-120 |
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| 作者姓名： | 邢军 殷丽文 焦明华 |
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| 作者单位： | [1]辽宁科技大学理学院,辽宁鞍山114051 [2]吉林石化公司乙烯厂,吉林吉林132022 [3]山东济宁模具厂,山东济宁272400 |
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| 摘 要： | 讨论了具有不确定区间时滞的BAM神经网络的鲁棒均方指数稳定性问题。通过构造适当的Lya-punov-Krasovskii泛函,利用一些新的定界技术,以线性矩阵不等式形式给出了Markov跳变BAM神经网络的时滞且区间相关的全局鲁棒指数稳定性判据,该判据利用Matlab的LMI工具很容易进行检验。给出数值示例,说明了判据的有效性与优越性。
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| 关 键 词： | 鲁棒指数稳定 双向联想记忆神经网络 线性矩阵不等式 时滞区间相关 |
Robust exponential stability for uncertain BAM neural networks with Markovian jump parameters and interval-time-varying delays |
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| XING Jun,YIN Li-wen,JIAO Ming-hua. Robust exponential stability for uncertain BAM neural networks with Markovian jump parameters and interval-time-varying delays[J]. Journal of Anshan Institute of Iron and Steel Technology, 2010, 0(2): 113-120 |
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| Authors: | XING Jun YIN Li-wen JIAO Ming-hua |
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| Affiliation: | 1.School of Science,University of Science and Technology Liaoning,Anshan 114051,China;2.Jinlin Petrochemical Company Ethylene Plant,Jilin 132022,China;3.Jining Mold Factory,Jinning 272400,China) |
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| Abstract: | The problem of robust exponential stability in the mean square for uncertain bidirectional associative memory（BAM） neural networks with Markovian jump parameters and time-varying delays is investigated.The time-varying delay is assumed to belong to an interval.By defining an appropriate Lyapunov-Krasovskii functional（LKF） and using some new bounding techniques,some delay-range-dependent stabilitycriteria are presented in terms of linear matrix inequalities（LMIs）,which can be solved efficiently by using existing LMI toolbox in MATLAB.A umerical example demonstrates the effectiveness and advantage of criterion. |
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| Keywords: | Robust exponential stability BAM neural networks LMI delay-range-dependent |
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