| 一类具有时变和分布时滞的 神经网络系统的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,宋玮玮.一类具有时变和分布时滞的 神经网络系统的时滞相依全局稳定性分析[J].海军航空工程学院学报,2019,34(3):328-336. |
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| 作者姓名： | 毛凯 孙校书 杨树杰 刘丹 宋玮玮 |
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| 作者单位： | 海军航空大学,山东烟台,264001;烟台大学文经学院,山东烟台,264000 |
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| 摘 要： | 通过构造一个新的增广Lyapunov-Krasovskii泛函,对时变时滞函数的下界和定常分布时滞同时使用时滞分割,获得了一类同时具有时变时滞和分布时滞的神经网络系统以LMI形式表达的时滞相依全局渐近稳定条件,并通过数值实例表明本文方法的有效性和稳定条件更低的保守性。
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| 关 键 词： | 分布时滞 时滞分割 时滞相依 全局渐近稳定 |
A Delay-Dependent Global Stability Analysis of Neural Networks With Time-Varying and Distributed Delays |
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| MAO Kai,SUN Xiaoshu,YANG Shujie,LIU Dan and SONG Weiwei.A Delay-Dependent Global Stability Analysis of Neural Networks With Time-Varying and Distributed Delays[J].Journal of Naval Aeronautical Engineering Institute,2019,34(3):328-336. |
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| Authors: | MAO Kai SUN Xiaoshu YANG Shujie LIU Dan and SONG Weiwei |
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| Institution: | Naval Aeronautical University, Yantai Shandong 264001, China,Naval Aeronautical University, Yantai Shandong 264001, China,Naval Aeronautical University, Yantai Shandong 264001, China,Naval Aeronautical University, Yantai Shandong 264001, China and Wenjing College, Yantai University, Yantai Shandong 264000, China |
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| Abstract: | In this paper, together with an improved augmented Lyapunov-Krasovskii functional and delay partitioning,which was applied to both the lower bound of time-varying and the constant distributed delays, a novel delay-dependentsufficient condition was obtained for guaranteeing a class of neural networks with and time-varying and distributed delaysto be global asymptotically stable, which was in form of LMIs. Examples were given to illustrate that the results in this pa?per is more efficiently and less conservative than some existing ones. |
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| Keywords: | distributed delays delay partitioning delay dependent global asymptotically stable |
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