期刊文献+

中立型细胞神经网络的稳定性分析 被引量:2

Stability analysis of neutral cellular neural networks
在线阅读 下载PDF
导出
摘要 基于线性矩阵不等式(LMI)技巧对中立型细胞神经网络的稳定性问题进行了研究,给出了神经网络稳定的一个充分性条件和系统稳定中立项所必须满足的一个必要条件。仿真结果证明了所给算法的有效性,同时表明所得结论优于Y.M.ZHANG等的结果。 The stability of neutral cellular neural networks was studied based on linear matrix inequality technique. A sufficient condition and a necessary condition were derived to assure that the zero-solution of the system is stable. The simulation result shows the validity of the presented algorithm, which is less conservative than that of Y, M. ZHANG et al.
出处 《中国石油大学学报(自然科学版)》 EI CAS CSCD 北大核心 2006年第4期145-148,共4页 Journal of China University of Petroleum(Edition of Natural Science)
关键词 中立系统 神经网络 稳定性 线性矩阵不等式 neutral system neural networks stability linear matrix inequality
作者简介 刘新海(1969-),男(汉族),山东临胸人,讲师,硕士,研究方向为优化控制。
  • 相关文献

参考文献14

  • 1HOPFIELD J J.Neural networks and physical systems with emergent collect computational abilities[J].Proc Natl Acad Sci,1982,79:2 554-2 558.
  • 2PHILIPPE De Wilde.Neural networks models,an analysis[M].New York:Springer-Verlag,1996.
  • 3LIAO X.Theory and applications of stability for dynamical systems[M].Beijing:National Defensive Industrial Press,2000.
  • 4ZHANG Y,SHEN Y,LIAO X,et al.Novel criteria stability for stochastic interval delayed Hopfield neural networks[J].Advances in Syst Sci and Appl,2002,2(1):37-41.
  • 5ACKLEY D H,HINTON G E and SEJINOWSKI T J.A lining algorithm for Bolzmann machines[J].Cognitive Science,1985,9:147-169.
  • 6GROSSBERG S.Compectitive learning:from interactive activation to adaptive resonance[J].Cognitive Science,1987,11:23-63.
  • 7CHUA L O,YANG L.Cellular neural network:theory[J].IEEE Trans Circuits Syst,1988(35):1257-1272.
  • 8CAO J.Global stability analysis in delayed cellular neural networks[J].Phys Rev,1999,59(5):5 940-5 944.
  • 9ZENG Z,WANG J,LIAO X.Stability analysis of delayed cellular neural networks described using cloning templates[J].IEEE Transactions on Circuits and Systems Ⅰ:Fundamental Theory and Applications,2004,51(11):2313-2324.
  • 10LIAO X,YU J.Robust stability criteria for interval Hopfield neural networks with time delay[J].IEEE Trans Neural Networks,1998(9):1042-1046.

二级参考文献1

共引文献1

同被引文献12

  • 1牛燕影.离散Hopfield神经网络的稳定性分析[J].燕山大学学报,2004,28(5):459-462. 被引量:1
  • 2陈武华,卢小梅,李群宏,关治洪.随机Hopfield时滞神经网络均方指数稳定性:LMI方法[J].数学物理学报(A辑),2007,27(1):109-117. 被引量:9
  • 3RAKKIYAPPAN R, BALASUBRAMANIAM P. New global exponential stability results for neutral - type neural networks with distributed time delays [J]. Neurocomputing, 2007, 11:7 -17.
  • 4ZHANG J, SUDA Y, IWASA T. Absolutely exponential stability of a class of neural networks with unbounded delay [J]. Neural Networks, 2004, 17:391 -397.
  • 5CAO J. Global asymptotic stability of neural networks with transmission delays [J]. Int J Syst Sci, 2000, 31: 1 313 - 1 316.
  • 6[1]Ju H Park,O M Know,S M Lee.LMI optimization approach on stability for delayed neural networks of neutral-type[J].Applied Mathematics and Computation,2007,169:1 245-1 255.
  • 7[2]Xu Shengyuan,James Lam,Daniel W C Ho.Yun Zou delay-dependent exponential stability for a class of neural networks with time delay[J].Applied Mathematics and Computation,2005,183:16-28.
  • 8[3]Huang Lihong,Huang Chuangxia,Liu Bingwen.Dynamics of a class of cellular neural networks with time-varying delays[J].Physics Letters A,2005,345:330-344.
  • 9[5]Cao Jiuwen,Zhong Shouming,Hu Yuanyuan.Global stability analysis for a class of neural networks with varying delays and control input[J].Applied Mathematics and Computation,2007,189:1 480-1 490.
  • 10孙建枝,武怀勤,单彩虹.一类具有变时滞的Hopfield型神经网络的全局指数稳定性[J].计算技术与自动化,2007,26(3):9-12. 被引量:2

引证文献2

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