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

变时滞反馈神经网络的全局指数稳定性 被引量：2

On Global Exponential Stability of Recurrent Neural Networks with Time-varying Delays
在线阅读 下载PDF
导出
摘要 通过引入更加广泛的一类Lyapunov-Krasovskii泛函,并利用线性矩阵不等式分析技巧,得到了关于可变时滞广义神经网络模型平衡位置全局指数稳定的最新判据,并且判别条件中不限制连接权矩阵符号.该结果精炼和推广了一些已有的结果,并且更少保守,在实践上易于程序实现,方便使用. Global exponential stability of recurrent neural networks with time-varying delays are studied. By using Lyapunov-Krasovskii functional and linear matrix inequality technique, we obtain a new sufficient conditions which does not restrict the sign of the connection weight matrix, for the networks to converge exponentially toward the equilibria. Compare with the method of Lyapunov functionals as in most previous studies, our method is simple in programming and less conservative than the ones reported so far in the literature.
作者 王培光 王宁 鲍俊艳
机构地区 河北大学电子与信息工程学院 河北大学数学与计算机学院
出处 《河北大学学报（自然科学版）》 CAS 北大核心 2006年第2期123-126,138,共5页 Journal of Hebei University(Natural Science Edition)
基金 河北省自然科学基金资助项目(A200400089)
关键词 反馈神经网络 变时滞 Lyapunov—Kramvskii泛函LMI方法 指数稳定 recurrent neual networks time-varying delays Lyapunov-Krasovskii functional LMI tech- nique exponential stability
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献6

  • 1JOY M.Results concerning the absolute of delayed neural networks[J].Neural Networks,2000,13 (5):613-616.
  • 2CAO J D.A set of Stability criteria for delayed cellular neural networks[J].IEEE Trans Circuits Syst,2001,48(4):494-498.
  • 3CAO J D,WANG J.Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays[J].Neural Networks,2004,17:379-390.
  • 4廖晓峰,李学明,周尚波.基于LMI方法的时滞细胞神经网络稳定性分析[J].计算机学报,2004,27(3):377-381. 被引量：12
  • 5SENANS,ARIK S.New results for exponential stability of delayed cellular neural networks[J].IEEE Trans Circuits Syst,2005,52(3):154-158.
  • 6CAO J D.Global asymptotic stability of delayed bi-directional associative memory neural networks[J].Appl Math Comput,2003,142:333-339.

二级参考文献25

  • 1[1]Chua L.O., Yang L.. Cellular neural networks: Theory. IEEE Transactions on CAS-I, 1998, 35(10): 1275～1272
  • 2[2]Roska T., Chua L.O.. Cellular neural networks wit nonlinear and delay-type template. International Journal of Circuit Theory Appl., 1992,22(4): 469～481
  • 3[3]Roska T., Wu C.W., Balsi M., Chua L.O.. Stability and dynamics of delay-type general and cellular neural networks. IEEE Transactions on CAS-I, 1992, 39(6): 487～490
  • 4[4]Roska T., Wu C.W., Chua L.O.. Stability of cellular neural networks with dominant nonlinear and delay-type template. IEEE Transactions on CAS-I, 1993, 40(4): 270～272
  • 5[5]Arik S., Tavsanoglu V.. On the global asymptotic stability of delayed cellular neural networks. IEEE Transactions on CAS-I, 2000, 47(4): 571～574
  • 6[6]Civalleri P.P., Gilli M., Pandolf L.. On stability of cellular neural networks with time delay. IEEE Transactions on CAS-I, 1993, 40(3): 157～165
  • 7[7]Gilli M.. Stability of cellular neural networks and delayed cellular neural networks nonpositive templates and nonmonotonic output functions. IEEE Transactions on CAS-I, 1994, 41(8): 518～528
  • 8[8]Arik S., Tavsanoglu V.. Equilibrium analysis of delayed CNNs. IEEE Transactions on CAS-I, 1998, 45(2): 168～171
  • 9[9]Arik S.. Stability analysis of delayed neural networks. IEEE Transactions on CAS-I, 2000, 47(7): 1089～1092
  • 10[10]Joy M.P.. Results concerning the absolute of delayed neural networks. Neural Networks, 2000,13(5): 613～616

共引文献11

同被引文献20

  • 1LIZ E,TROFIMCHUK S. Existence and stability of almost periodic solutions for quasilinear delay system and the Halanay inequality[J]. J Math Anal Appl, 2000,248 (2) :625 -- 644.
  • 2FENG CHUNHUA,WHANG PEIFGUANG. The existence of almost periodic solutions of some delay differential equations[J]. Computers and Mathmatics with Applications, 2004,47 (8-- 9) : 1225 -- 1231.
  • 3郑大钧.非线性泛函分析[M].第2版.济南:山东科技出版社,2003.
  • 4ZENG WEIYAO. Periodic solution and almost periodic solution of differential in critical case[J]. Ann of Diff Eqs, 1987,3 (4) :471--481.
  • 5师文英,赵新生,戴晓东.具有连续偏差变元的二阶阻尼方程的振动定理[J].河北大学学报（自然科学版）,2007,27(4):340-344. 被引量：5
  • 6Lakshmikantham V, Vatsala A S. Differential Inequalities with Initial Time Difference and Applica- tions. J. Inequalities and Applications, 1999, 3(3): 233-244.
  • 7Shaw M D, Yakar C. Generalised Variation of Parameters with Initial Time Difference and a Comparison Result in Terms of Lyapunov Like functions. International J. Non-linear Differential Equations- theory-methods and Applications, 1999, 5:86-108.
  • 8Yakar C, Deo S G. Variation of Parameters Formulae with Initial Time Difference for Linear Integrodifferential Equations. Applicable Analysis: an International Journal, 2006, 85(4): 333-343.
  • 9Lakshmikantham V, Leela S, Vasundharadevi J. Another Approach to the Theory of Differential Inequalities Relative to Changes in the Initial Times. J. Inequalities and Applications, 1999, 4(2): 163-174.
  • 10McRae F A. Perturbing Lyapunov Functions and Stability Creteria for Initial Time Difference. Applied Mathematics and Computation, 2001, 117(2-3): 313-320.

引证文献2

二级引证文献2

河北大学学报（自然科学版）
2006年 第2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