| 变时滞非线性细胞神经网络稳定性分析 |
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| 引用本文： | 莫玉忠,丁明智,虞继敏. 变时滞非线性细胞神经网络稳定性分析[J]. 重庆邮电学院学报(自然科学版), 2010, 0(6) |
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| 作者姓名： | 莫玉忠 丁明智 虞继敏 |
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| 作者单位： | 柳州师范高等专科学校数学与计算机科学系;广西师范学院数学与计算机科学系;重庆邮电大学自动化学院/教育部直属神经网络控制和智能仪器重点实验室; |
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| 基金项目： | 重庆市自然科学基金(CSTC,2009BB3280); 重庆市高等教育教学改革研究项目(09-3-086)~~ |
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| 摘 要： | 通过构造新的Lyapunov-Krasovskii泛函和线性矩阵不等式(linear matrix inequatity,LMI),研究变时滞非线性细胞神经网络渐近稳定性,利用牛顿-莱布尼兹公式,一些参数矩阵表达出系统变量之间的关系。从而得出一个具有变时滞相关的全局渐近稳定性判据,其扩展并改善了以前文献的结果。数值及仿真例子验证了结果的有效性。
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| 关 键 词： | 全局渐近稳定性 线性矩阵不等式 Lyapunov-Krasovskii泛函 变时滞 |
Stability analysis of nonlinear cellular neural networks with time-varying delay |
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| MO Yu-zhong,DING Ming-zhi,YU Ji-min. Stability analysis of nonlinear cellular neural networks with time-varying delay[J]. Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition), 2010, 0(6) |
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| Authors: | MO Yu-zhong DING Ming-zhi YU Ji-min |
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| Affiliation: | MO Yu-zhong1,DING Ming-zhi2,YU Ji-min3(1.Department of Mathematics , Computer Science,Liuzhou Teacher's College,Liuzhou 545004,P.R.China,2.Department of Mathematics , Computer Science,Guangxi Teacher Education University,Naning 530023,3.Automation Institute /Key Laboratory of Network Control , Intelligent Instrument Ministry of Education,Chongqing University of Posts , Telecommunications,Chongqing 400065,P.R.China) |
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| Abstract: | In this paper,a new Lyapunov-Krasovskii functional and the linear matrix inequatity(LMI)approach were proposed to deal with the problem of the global asymptotic stability of celluar neural networks with time-varying delay.Some parametermatrices were used to express the relationships among the system variables,and among the terms in Leibniz-Newton formula.As a result,an elegant delay dependent stability for neural networks with time-varying delay was derived that is a generatlization of,and an improvement ov... |
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| Keywords: | global asymptotic stability linear matrix inequatity(LMI) Lyapunov-Krasovskii functionals time-varying delay |
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