Stability Analysis of Nonsymmetric Cellular Neural Networks

非对称细胞神经网络的稳定性分析(英文)

下载PDF

导出

摘要 This paper describes the problem of stability for one-dimensional Cellular Neural Networks（CNNs）. A sufficient condition is presented to ensure complete stability for a class of special CNN＇s with nonsymmetric templates, where the parameter in the output function is greater than or equal to zero. The main method is analysising the property of the equilibrium point of the CNNs system.

作者李立平陈芳跃

机构地区 Detriment of Mathematics College of Mathematics Physics and Information Science

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第2期195-202,共8页 数学季刊（英文版）

基金 Supported by the NSF of Zhejiang Province(M103087) Supported by the Science Research Fund of Hushou Teacher's College

关键词 cellular neural networks STABILITY equilibrium point limit set 非对称细胞神经网络稳定性平衡点有限集

分类号 O175.13 [理学—基础数学]

引文网络
相关文献

参考文献11

1CHUA L O,YANG Lin.Cellullar neural networks:theory[J].IEEE IVans Circuits Syst,1988,35(10):1257-1272.
2CHUA L O,YANG Lin.Cellular neural networks:applications[J].IEEE Trans Circuits Syst,1988,35(10):1273-1290.
3SUZUKI H,AATSUMOTO Y,CHUA L O.A CNNs handwritten character recognizer[J].Int J Circuit Theory Appl,1992,20:601-612.
4WERBLIN F,ROSKA T,CHUA L O.The analogic cellular neural networks as a bionic eye[J].Int J Circuit Theory Appl,1994,23:541-569.
5BELL J,COSNER C.Threshold behavior and propogation for nonlinear differential-difference systems motiveted by modeling myelinated axons[J].Quart Appl Math,1984 24:1-14.
6WU C W,CHUA L O.More rigorousproof of complete stability of cellular neural networks[J].IEEE Trans Circuits Syst-Ⅰ,1997,44(4):370-371.
7CAO Jin-de.A set of stability criteria for delayed cellular neural networks[J].IEEE Trans Circuits Syst-Ⅰ,2001(4),48:494-498.
8CAO Jin-de.Global stability conditions for delayed CNNs[J].IEEE Trans Circuits Syst-Ⅰ,2001(11),48:1330-1333.
9ZOU Fan,NOSSEK J A.Stability of opposite-sign template[J].IEEE Trans Circuits Syst,1991,38(12):675-677.
10GUIDO DE Sandre.Stability of 1-D-CNNs with Dirichlet boundary conditions and global propagation dynamics[J].IEEE Trans Circuits Syst-Ⅰ,2000,47:785-792.

1廖晓昕.Mathematical theory of cellular neural networks (Ⅱ)[J].Science China Mathematics,1995,38(5):542-551.
2Liqun Zhou Yanyan Zhang.Global exponential stability of cellular neural networks with multi-proportional delays[J].International Journal of Biomathematics,2015,8(6):1-17. 被引量：10
3LI Bao Lin,PU Wu Jun.Existence and Stability of Periodic Solutions in Delayed Cellular Neural Networks with Impulses[J].Journal of Mathematical Research and Exposition,2009,29(3):517-527.
4Guo, Hongxing, Yan, Jie, Qing, Lingsong, Bao, Zongti.Simulation of Cellular Neural Networks by Wave Digital Filter Principles[J].Wuhan University Journal of Natural Sciences,1998,3(3):69-72.
5Xia Fei Li Xuemei (Dept. of Math., Hunan Normal University, Changsha 410081).EXPONENTIAL STABILITY OF DISCRETE-TIME CELLULAR NEURAL NETWORKS WITH DELAYS[J].Annals of Differential Equations,2006,22(3):388-393.
6张发明.非对称细胞神经网络稳定平衡点的存在性[J].电子测量与仪器学报,2005,19(3):25-29. 被引量：3
7Syed ABBAS,夏永辉.EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY[J].Acta Mathematica Scientia,2013,33(1):290-302. 被引量：3
8Zhi-hao Cao (Dearptment of Mathematics, Fudan University, Shanghai 200433, China).TOTAL GENERALIZED MINIMUM BACKWARD ERROR ALGORITHM FOR SOLVING NONSYMMETRIC LINEAR SYSTEMS[J].Journal of Computational Mathematics,1998,16(6):539-550. 被引量：12
9陈芳跃,李立平,王毅.细胞神经网络的Smale马蹄研究[J].浙江师范大学学报（自然科学版）,2002,25(4):325-330.
10Shmuel FRIEDLAND.Best rank one approximation of real symmetric tensors can be chosen symmetric[J].Frontiers of Mathematics in China,2013,8(1):19-40.

Chinese Quarterly Journal of Mathematics

2007年第2期

浏览历史

内容加载中请稍等...

Stability Analysis of Nonsymmetric Cellular Neural Networks

参考文献11

相关作者

相关机构

相关主题

浏览历史