| 自反馈项对时滞神经网络系统稳定性的影响 |
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| 引用本文： | 王婷婷,赵东霞,毛 莉,范东霞.自反馈项对时滞神经网络系统稳定性的影响[J].华中师范大学学报(自然科学版),2021,55(2):165-170. |
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| 作者姓名： | 王婷婷 赵东霞 毛 莉 范东霞 |
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| 作者单位： | 中北大学理学院， 太原 030051 |
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| 摘 要： | 研究带有自反馈项和小世界联接的时滞环形神经网络系统的稳定性，首先构建了一个Lyapunov函数，并分析了系统和时滞相关的稳定性，给出了时滞τ的全局稳定性区间；其次根据Schur-Cohn准则研究与时滞无关的稳定性，建立了自反馈权值与系统稳定性之间的关系；最后通过数值模拟有效地佐证了结论.
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| 关 键 词： | 自反馈 小世界联接 时滞 稳定性 |
The influence of self feedback term on the stability of neural network system with time delay |
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| WANG Tingting,ZHAO Dongxia,MAO Li,FAN Dongxia.The influence of self feedback term on the stability of neural network system with time delay[J].Journal of Central China Normal University(Natural Sciences),2021,55(2):165-170. |
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| Authors: | WANG Tingting ZHAO Dongxia MAO Li FAN Dongxia |
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| Institution: | School of Science， North University of China， Taiyuan 030051， China |
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| Abstract: | In this paper， the stability of a delay ring neural network system with self feedback term and small world connection is studied. Firstly， the Lyapunov function method is utilized to analyze the delay related stability and the global stability interval of the delay τ is established. Secondly， the delay independent stability is investigated according to the Schur-Cohn criterion with the relationship between the self feedback weight and the system stability constructed. Finally， the conclusion is demonstrated by numerical simulation. |
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| Keywords: | self-feedback small world connections time-delay stability |
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