| 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].重庆邮电大学学报(自然科学版),2010,22(6):817-822. |
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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,柳州,545004;广西师范学院,数学与计算机科学系,广西,南宁,530023;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,重庆,400065 |
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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 |
| 收稿时间： | 2010/5/11 0:00:00 |
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,2010,22(6):817-822. |
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| Authors: | MO Yu-zhong DING Ming-zhi YU Ji-min |
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| Institution: | Department of Mathematics and Computer Science,Liuzhou Teacher's College, Liuzhou 545004,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 over, previous criterions. The numerical example and simulation example demonstrate the effectiveness of the condition. |
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| Keywords: | global asymptotic stability linear matrix inequatity (LMI) Lyapunov-Krasovskii functionals time-varying delay |
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