期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类非线性时滞细胞神经网络稳定性分析 被引量：6

Stability Analysis of Celluar Neural Networks with Delay
下载PDF
导出
摘要 研究了一类常时滞细胞神经网络的全局渐近稳定性.通过构造适当的Lyapunov-Krasovskii泛函,利用线性矩阵不等式(LMI)得出了全局渐近稳定性判据.数值的例子验证了方法结果的有效性. The global asymptotic stability of celluar neural networks with constant delay is studied.An appropriate type of Lyapunov-Krasovskii functions and the linear matrix inequatity（LMI） approach are proposed to investigate the problem.An improved global asymptotic stability criterion is also derived.Numerical example demonstrates the effectiveness of the criterion.
作者 李洁坤 丁明智 虞继敏
机构地区 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 重庆邮电大学数理学院
出处 《郑州大学学报（理学版）》 CAS 北大核心 2010年第3期54-58,共5页 Journal of Zhengzhou University:Natural Science Edition
基金 重庆市自然科学基金资助项目 编号2009BB3280
关键词 全局渐近稳定性 线性矩阵不等式 LYAPUNOV-KRASOVSKII泛函 时滞 global asymptotic stability linear matrix inequatity Lyapunov-Krasovskii functionals delay
分类号 O231.2 [理学—运筹学与控制论]
  • 相关文献

参考文献6

  • 1Fridman E, Shaked U. An improved stabilization method for linear time-delay systems[J]. IEEE Trans Automat, 2002, 47:1931-1937.
  • 2Fridman E, Shaked U. Delay-dependent stability and H control: constant and time-varying delays[J]. Int J Control, 2003,76(1) :48-60.
  • 3Fridman E , Shaked U. Parameter dependent stability and stabilization of uncertain time-delay systems[J]. IEEE Trans Automat,2003, 48: 861-866.
  • 4杨德刚.一种新的时滞细胞神经网络全局渐近稳定性准则[J].重庆师范大学学报（自然科学版）,2007,24(3):46-50. 被引量：6
  • 5Xu Junpin ,Dao ying, Cao Yongyan. Delay-independent and delay-dependent stability of a novel delayed neural networks by Lyapunov functional based approaehes[C]//Proeeedings of the 2006 American Control Conference. Minneapolis, 2006 : 3146-3151.
  • 6Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks[J]. IEEE Trans, 2004, 15:223-225.

二级参考文献2

共引文献5

同被引文献57

  • 1罗登跃.基于非线性混沌动力学模型的宏观经济系统运行实证分析[J].数量经济技术经济研究,2004,21(10):136-140. 被引量：9
  • 2XIA You-shen, FENG Gang, WANG Jun. A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations[J]. Neural Networks, 2004,17 (7) : 1003-1015.
  • 3XUE Xiao-ping, BIAN Wei. A project neural network for solving degenerate convex quadratic program[J]. Neuro- computing, 2007,70(13/15) : 2449-2459.
  • 4LIU Qing-shan, CAO Jin-de, Global exponential stability of discrete-time recurrent neural network for solving quad- ratic programming problems subject to linear constraints[J]. Neurocomputing,2011,74(17):3494-3501.
  • 5TAO Qing,CAO Jin-de,Demin Sun. Neural network for quadratic programming problems[J]. Applied Mathematics and Computation, 2001,124(2) : 251-260.
  • 6HASAN G O, NEZAM M A. An efficient simplified neural network for solving linear and quadratic programming Dmblems[J]. APplied Mathematics and Computation, 2006,175 (1), 452-464.
  • 7YANG Yong-qing, CAO Jin-de. A feedback neural network for solving convex constraint optimization problems[J]. Applied Mathematics and Computation, 2008,201(1/2) : 340-350.
  • 8BERTSEKAS D P. Parallel and distributed computation: Numerical methods [M]. Englewood Cliffs: Prentice- Hall, 1989.
  • 9HALE J K, VERDUYN-LUNEL S M. Introduction to functional differential equations[M]. New York: Springer, 1993.
  • 10The Diabetes Control and Complications Trial Research Group. The effect of intensive treatment of diabetes on the development and progression of long-term complications in insulin dependent diabetes mellitus[J].New England Journal of Medicine,1993,(14):977-986.

引证文献6

二级引证文献9

郑州大学学报（理学版）
2010年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部