| 基于时滞分割技术的时滞神经网络系统时滞相依全局稳定性分析 |
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| 引用本文： | 毛凯,孙校书,杨树杰,刘丹.基于时滞分割技术的时滞神经网络系统时滞相依全局稳定性分析[J].海军航空工程学院学报,2019,34(2):239-244. |
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| 作者姓名： | 毛凯 孙校书 杨树杰 刘丹 |
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| 作者单位： | 海军航空大学,山东烟台,264001;海军航空大学,山东烟台,264001;海军航空大学,山东烟台,264001;海军航空大学,山东烟台,264001 |
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| 摘 要： | 通过构造一个新的增广 Lyapunov-Krasovskii泛函,利用时滞分割技术并结合自由权矩阵、Jensen积分不等式,得到一个时滞神经网络系统时滞相依全局渐近稳定新判据。该判据以 LMI的形式给出,便于计算和验证。数值实例表明,文章结果改进了相关文献结论,具有更低的保守性。
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| 关 键 词： | 时滞神经网络系统(DNN) 全局渐近稳定 时滞分割技术 自由权矩阵 Jensen积分不等式 |
Delay-Dependent Global Stability of Neural Networks With Time Delay Based on Delay |
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| MAO Kai,SUN Xiaoshu,YANG Shujie and LIU Dan.Delay-Dependent Global Stability of Neural Networks With Time Delay Based on Delay[J].Journal of Naval Aeronautical Engineering Institute,2019,34(2):239-244. |
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| Authors: | MAO Kai SUN Xiaoshu YANG Shujie and LIU Dan |
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| Institution: | Naval Aviation University, Yantai Shandong 264001, China,Naval Aviation University, Yantai Shandong 264001, China,Naval Aviation University, Yantai Shandong 264001, China and Naval Aviation University, Yantai Shandong 264001, China |
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| Abstract: | In this paper, a delay-dependent stability sufficient condition was obtained by a newly constructed Lyapunov-Krasovskii functional together with delay fractioning technique, free weighing matrix method and Jensen integral inequali.ty, which was in form of LMIs and was less conservative than the existing ones. |
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| Keywords: | time-delay neural networks (DNN) global asymptotically stability delay fractioning technique free weightingmatrix Jensen integral inequality |
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