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

基于线性矩阵不等式的广义神经网络系统的全局指数稳定性分析

LMI-Based Approach for Globally Exponentially Stability Analysis of Generalized Delayed Neural Network
下载PDF
导出
摘要 本文通过构造Lyapunov-Krasovskii泛函并利用线性矩阵不等式的方法将系统的稳定性问题转化为凸优化问题,建立了系统指数稳定的充分条件.该充分条件可利用标准的Matlab LMI工具箱来验证和求解. The paper is devoted to the stability analysis of generalized delayed neural network with mixed discrete and distributed delays. By employing the Lyapunov-Krasovskii functional, the addressed stability analysis problem is converted into a convex optimization problem, and a linear matrix inequality approach is utilized to establish the sufficient condition for the globally exponentially stability. This condition can be readily checked by utilizing the Matlab LMI Toolbox.
作者 蒋国民
机构地区 淮阴工学院计算科学系
出处 《运筹学学报》 CSCD 北大核心 2007年第4期93-101,共9页 Operations Research Transactions
基金 国家自然科学基金资助项目(10171088).
关键词 运筹学 神经网络 线性矩阵不等式 稳定性 Operations research, neural network, linear matrix inequality, stability
分类号 TP13 [自动化与计算机技术—控制理论与控制工程] TP183 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献21

  • 1Arik S.Stability analysis of delayed neural networks[J].IEEE Transactions on Circuits Systems-I,2000,47:1089-1092.
  • 2Baldi P.and Atiya A.F.How delays affect neural dynamics and learning[J].IEEE Transactions on Neural Networks,1994,5:612-621.
  • 3Cao J.Periodic oscillation and exponential stability of delayed CNNS[J].Physics Letters A,2000,270:157-163.
  • 4Liao X.F.,Chen G.and Sanchez E.N.LMI-based approach for asymptotically stability analysis of delayed neural networks[J].IEEE Transactions on Circuits Systems-I,2002,49:1033-1039.
  • 5Joy M.P On the global convergence of a class of functional differential equations with applications in neural network theory[J].Journal of Mathematical Analysis and Applications,1996,232:61-81.
  • 6Joy M.P.Results concerning the absolute stability of delayed neural networks[J].Neural Networks,2000,13:613-616.
  • 7Liao X.F.,Wong K.W.,Leung C.S.and Wu Z.F.Hopf bifurcation and chaos in a single delayed neuron equation with nonmonotonic activation function[M].Chaos,Solitons and Fractals,2001,12,1535-1547.
  • 8Van den Driessche P.and Zou X.Global attractivity in delayed Hopfield neural networks model[J].SIAM Journal of Applied Mathematics,1998,58:1878-1890.
  • 9Wang Z.,Ho D.W.C.and Liu X.State estimation for delayed neural networks[C].IEEE Transactions on Neural Networks,2004.
  • 10Zhang Y.Global exponential stability and periodic solutions of delay Hopfield neural networks[J].International Journal of System Sciences,1996,27:227-231.

二级参考文献19

  • 1Arik S. (2000). Stability analysis of delayed neural networks. IEEE Transactions on Circuits Systems - I,47,1089 - 1092.
  • 2Baldi P. and Atiya A. F. (1994). How delays affect neural dynamics and learning. IEEE Transactions on Neural Networks,5,612 -621.
  • 3Cao J. (2000). Periodic oscillation and exponential stability of delayed CNNs. Physics Letters A ,270,157 - 163.
  • 4Liao X. F. , Chen G. and Sanchez E. N. (2002). LMI - based approach for asymptotically stability analysis of delayed neural networks.IEEE Transactions on Circuits Systems - I,49, 1033 - 1039.
  • 5Joy M. P. (199b). On the global convergence of a class of functional differential equations with applications in neural network theory. Journal of Mathematical Analysis and Applications,232,61 - 81.
  • 6Joy M. P. (2000a). Results concerning the absolute stability of delayed neural networks. Neural Networks,13,613 -616.
  • 7Liao X. F. , Wong K. W. , Leung C.S. and Wu Z. F. (2001). Hopf bifurcation and chaos in a single delayed neuron equation with nonmonotonic activation function. Chaos, Solitons and Fractals, 12,1535 - 1547.
  • 8Van den Driessche P. and Zou X. (1998). Global attractivity in delayed Hopfield neural networks model. SIAM Journal of Applied Mathematics,58, 1878 - 1890.
  • 9Wang Z. , Ho D. W. C. and Liu X. (2004). State estimation for delayed neural networks. IEEE Transactions on Neural Networks, accepted for publication.
  • 10Zhang Y. (1996). Global exponential stability and periodic solutions of delay Hopfield neural networks. International Journal of System Sciences,27,227 - 231.

共引文献3

运筹学学报
2007年 第4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