| 无界变时滞神经网络全局稳定性 |
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| 引用本文： | 曾志刚,廖晓昕. 无界变时滞神经网络全局稳定性[J]. 数学物理学报(A辑), 2005, 25(5): 621-626 |
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| 作者姓名： | 曾志刚 廖晓昕 |
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| 作者单位： | [1]湖北师范学院数学系,黄石435002 [2]中国科学技术大学自动化系,合肥230026 [3]华中科技大学控制科学与工程系,武汉430074 |
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| 基金项目： | 国家自然科学基金（60274007;60405002）、“面向21世纪教育振兴行动”和湖北省教育厅优秀青年项目（20038001）资助 |
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| 摘 要： | 该文研究了具无界变时滞的时变神经网络的全局稳定性.利用两种不同的分析方法得到了保证这类神经网络全局渐近稳定的一些充分条件.推广和改进了现有文献中常时滞或时滞为零的相应结果.
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| 关 键 词： | 无界变时滞 神经网络 全局稳定性 |
| 文章编号： | 1003-3998(2005)05-621-06 |
| 收稿时间： | 2003-04-26 |
| 修稿时间： | 2004-10-28 |
Global Stability for Neural Networks with Unbouned Time Varying Delays |
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| CENG Zhi-Gang,LIAO Xiao-Cuan. Global Stability for Neural Networks with Unbouned Time Varying Delays[J]. Acta Mathematica Scientia, 2005, 25(5): 621-626 |
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| Authors: | CENG Zhi-Gang LIAO Xiao-Cuan |
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| Affiliation: | 1 Department of Mathematics, Hubei Normal University, Huangshi 435002 ;2 Department of Automation, University of Science and Technology of China, Hefei 230026 ;3 Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074 |
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| Abstract: | This paper studies the global stability of the neural network with unbounded time-varying delays and time-varying coefficients. Using two kinds of methods, some sufficient conditions have been obtained to guarantee that such neural network is globally stable. Moreover, when time-delay is constant or doesn't exist, the results given in the paper extend the existing relevant stability results in the existing literature. |
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| Keywords: | Unbounded time-varying delay Neural networks Global stability |
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