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

Analysis for Cohen-Grossberg neural networks with multiple delays 被引量：2

Analysis for Cohen-Grossberg neural networks with multiple delays
下载PDF
导出
摘要 The stability analysis of Cohen-Grossberg neural networks with multiple delays is given. An approach combining the Lyapunov functional with the linear matrix inequality （LMI） is taken to obtain the sufficient conditions for the globally asymptotic stability of equilibrium point. By using the properties of matrix norm, a practical corollary is derived. All results are established without assuming the differentiability and monotonicity of activation functions. The simulation samples have proved the effectiveness of the conclusions. The stability analysis of Cohen-Grossberg neural networks with multiple delays is given. An approach combining the Lyapunov functional with the linear matrix inequality （LMI） is taken to obtain the sufficient conditions for the globally asymptotic stability of equilibrium point. By using the properties of matrix norm, a practical corollary is derived. All results are established without assuming the differentiability and monotonicity of activation functions. The simulation samples have proved the effectiveness of the conclusions.
作者 Ce JI Huaguang ZHANG Huanxin GUAN Ping YUAN
机构地区 School of Information Science and Engineering
出处 《控制理论与应用（英文版）》 EI 2006年第4期392-396,共5页
基金 This work was supported by the National Natural Science Foundation of China(No. 60534010, 60572070), Liaoning Natural Science Foundation ofChina(No.20052027), and the Program for Changjiang Scholars and Innovative Research Team in University.
关键词 Cohen-Grossberg neural networks Multiple delays LMI Lyapunov functional Globally asymptotic stability Cohen-Grossberg neural networks Multiple delays LMI Lyapunov functional Globally asymptotic stability
分类号 O23 [理学—运筹学与控制论]
  • 相关文献

参考文献1

二级参考文献6

  • 1Xu Z B, Hu G Q, Kwong C P. Some efficient strategies for improving the eigenstructure method in synthesis of feedback neural networks[J]. IEEE Trans on Neural Networks, 1996,7 (1): 233-245.
  • 2Liu D, Lu Z. A new synthesis approach for feedback neural networks based on the perceptron training algorithm[J]. IEEE Trans on Neural Networks, 1997, 8(6) : 1468-1482.
  • 3Arisk S. Stability analysis of delayed neural networks [J]. IEEE Trans on Circuits System, 2000,47 (7):1089-1092.
  • 4Ye H, Michel A N, Wang K. Robust stability of nonlinear time-delay systems with applications to neural networks[J]. IEEE Trans on Circuits and Systems -Ⅰ : Fundamental Theory and Applications, 1996,43 (7) :532-543.
  • 5Cohen M, Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks [J]. IEEE Trans on Systems,Man, and Cybernetics, 1983,13(5) :815-826.
  • 6Michel A N, Wang K, Hu B. Qualitative Theory of Dynamical Systems - The Role of Stability Preserving Mappings [M]. Second Edition. New York: Marcel Dekker, 2001.

共引文献3

同被引文献22

  • 1COHEN M A, GROSSBERG S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks[J]. IEEE Transactions on Systems, Man and Cybernetics, 1983, 13(1): 815- 826.
  • 2CHEN Z, ZHAO D, RUAN J. Dynamic analysis of high-order Cohen Grossberg neural networks with time delay[J]. Chaos, Solitons and Fractals, 2007, 32(4): 1538 - 1546.
  • 3XIONG W, CUI B. Some criteria for robust stability of Cohen-Grossberg neural networks with delays[J]. Chaos, Solitons and Fractals, 2008, 36(5): 1357 - 1365.
  • 4WU W, CUI B, LOU X. Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delays[J]. Neurocomputing, 2007, 70(4/6): 1085 - 1088.
  • 5JIANG M, SHEN Y, LIAO X. Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay[J]. Applied Mathematics and Computation, 2006, 172(1): 379 - 393.
  • 6CHEN W, ZHENG W. Stability analysis for Cohen-Grossberg neural networks with time-varying delays[J]. IEEE International Symposium on Circuits and Systems, 2006, 21(1): 3630 - 3633.
  • 7SONG Q, CAO J. Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays[J]. Journal of Computational and Applied Mathematics, 2006, 197(1):188 - 203.
  • 8HUANG T, LI C, CHEN G. Stability of Cohen-Grossberg neural networks with unbounded distributed delays[J]. Chaos, Solitons and Fractals, 2007, 34(3): 992 - 996.
  • 9CHEN W, LU X. Delay-dependent exponential stability of neural networks with variable delay: an LMI approach[J]. IEEE Transactions on Circuits and Systems-II, 2006, 53(3): 837 - 842.
  • 10XU S, LAM J. Novel global stability criteria for interval neural networks with multiple time-varying delays[J]. Physics Letters A, 2005, 342(4): 322 - 330.

引证文献2

控制理论与应用（英文版）
2006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