带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)

李源铭; 蒋海军

您当前的位置：

首页 >

文章列表页 >

带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)

数理科学 | 更新时间：2026-01-21

- 带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)
- 带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)
- 新疆大学学报（自然科学版中英文） 2008年109卷第1期页码：28-35
- 作者机构：
  
  新疆大学数学与系统科学学院,新疆大学数学与系统科学学院新疆乌鲁木齐830046,新疆,乌鲁木齐,830046
- 作者简介：
- 基金信息：
  
  This work was supported by the National Natural Science Foundation of P.R.China(10361004);the Major Project of The Ministry of Education of P.R.China and the Funded by Scientific Research Program of the Higher Education Institution of Xin-jiang(XJEDU2004I12)
- DOI：
  中图分类号： O175.12
- 纸质出版：2008
- 稿件说明：
移动端阅览
[1]李源铭,蒋海军.带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)[J].新疆大学学报(自然科学版),2008,No.109(01):28-35.

李源铭, 蒋海军. 带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 109(1): 28-35.
[1]李源铭,蒋海军.带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)[J].新疆大学学报(自然科学版),2008,No.109(01):28-35. DOI：

李源铭, 蒋海军. 带时滞的高阶Cohen-Grossberg神经网络的指数稳定性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 109(1): 28-35. DOI：

摘要

就一类高阶时滞Cohen-Grossberg神经网络进行研究.假设反应函数满足Lipschitz连续且有界.用非线性测度的方法得到了关于平衡点的存在性和惟一性的一种新的充分性的判别条件.同时

通过构造一个合适的Lyapunov函数

得到的这个条件也保证了时滞神经网络的全局指数稳定性.

Abstract

In this paper

a class of high-order Cohen-Grossberg neural networks with time delay is investigated.The activation functions are assumed to be Lipschitz continuous and bounded.A new sufficient condition is obtained to ensure the existence and uniqueness of the equilibrium based on the nonlinear measure.Meanwhile

the condition obtained also guarantees the global exponential stability of the delayed neural networks via constructing a suitable Lyapunov function.

关键词

Keywords

references

Grossberg S.Nonlinear neural networks:Principles,mechanisms,andarchitecture[J].Neural Networks1988,1(17)23-31.

Cohen M A,Grossberg S.Absolute stability and global pattern formation and parallel memory storage by competitive neural networks[J].IEEE Trans,Systems Man Cybernet.SMC-B,1983,815.

Wan A H,Wang M S,Peng J G,Qiao H.Exponential stability of Cohen Grossberg neural networks with a general class of activation functions[J].Physics Letters2006,350:96-102.

Wan A H,Qiao H,Peng J G,Wang M S.Delay-independent criteria for exponential stability generalized Cohen-Grossberg neural networks with discrete delay[J].Physics Letters A,2006,353:151-157.

Liao X F,Li C G,Wong K W.Criteria for exponential stability of Cohen-Grossberg neural networks[J].Neural Net-works,2004,(17):1404.

Michel A,Wang K K.Qualitative analysis of Cohen-Grossberg neural networks with multiple delays[J].Phys Rev E1995,51:2611-8.

Wang L,Zou X F.Exponential stability of Cohen-Grossberg neural networks[J].Neural Networks2002,15:415-22.

Su J,Hu A,He Z.Solving a kind of nonlinear programming problems via analog neural networks[J],Neurococom-puting,1998,18:1-9.

Xu B J,Liu X Z,Liao X X.Global asymptotic stability of high-order Hopfield type neural networks with time delays[J].Comp Math Appl,2003,45:1729-37.

Cao J D,Liang J L,Lamb J.Exponential stability of high-order bidirectional associative memory neural networks with time delays[J].Physica D,2004,199:425-36.

Ortega J M,Rheinboldt W C.Iterative Solution of Nonlinear Equations in Several Variables[M].New York:Aca-demic Press,1970.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

带有变时滞的高阶模糊细胞神经网络的指数稳定性(英文)

具有免疫接种且总人数规模变化的SIR和SIS组合传染病模型

一类具有混合变时滞的脉冲Cohen-Grossberg神经网络的完全同步(英文)

一类差分方程的解及其渐近行为(英文)

具有分布时滞的高阶Hopfield神经网络的全局稳定性判据(英文)