| 带有Le'vy噪声的中立型神经网络的反馈控制 |
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| 引用本文： | 张贺,徐胜元.带有Le'vy噪声的中立型神经网络的反馈控制[J].南京气象学院学报,2018,10(6):676-680. |
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| 作者姓名： | 张贺 徐胜元 |
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| 作者单位： | 南京理工大学 自动化学院, 南京, 210094,南京理工大学 自动化学院, 南京, 210094 |
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| 基金项目： | 国家自然科学基金（61673215，61374087） |
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| 摘 要： | 针对延迟中立型神经网络系统，研究了反馈控制问题.考虑了带有Le''vy噪声的中立型神经网络，建立了一个适当的Lyapunov函数.通过Lyapunov分析方法并使用一般性Itô公式和LMI技术，得到了闭环系统的均方稳定性准则.最后，通过数值例子证实本文方法的有效性.
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| 关 键 词： | 中立型神经网络 Le''vy噪声 Lyapunov分析方法 均方稳定性 |
| 收稿时间： | 2018/7/19 0:00:00 |
Feedback control of neutral-type neural networks with Le'vy noise |
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| ZHANG He and XU Shengyuan.Feedback control of neutral-type neural networks with Le'vy noise[J].Journal of Nanjing Institute of Meteorology,2018,10(6):676-680. |
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| Authors: | ZHANG He and XU Shengyuan |
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| Institution: | School of Automation, Nanjing University of Science and Technology, Nanjing 210094 and School of Automation, Nanjing University of Science and Technology, Nanjing 210094 |
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| Abstract: | The feedback control problem in delayed neutral-type neural networks with Le''vy noise is addressed in this paper.Delay is considered as constant in this study.An appropriate Lyapunov function is used to analyze the mean square stability of the closed-loop system.Using the Lyapunov method,the general Itô formula,and the linear matrix inequality technique,the sufficient condition to guarantee stability in mean square sense for the closed-loop system is derived.Finally,a numerical example is given to illustrate the effectiveness of the obtained results. |
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| Keywords: | neutral-type neural networks Le''vy noise Lyapunov method mean square stability |
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