Global exponential stability and periodic solutions of delayed cellular neural networks

被引：62

作者：

Cao, JD ^{[1
]}

机构：

[1] Yunnan Univ, Adult Educ Coll, Kunming 650091, Peoples R China

来源：

JOURNAL OF COMPUTER AND SYSTEM SCIENCES | 2000年 / 60卷 / 01期

关键词：

cellular neural networks; Lyapunov functional; global exponential stability; periodic solution;

D O I：

10.1006/jcss.1999.1658

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problems of global exponential stability and periodic solutions for a class of delayed cellular neural networks are analyzed via the method of constructing suitable Lyapunov functionals. Some simple sufficient conditions are given for global exponential stability and the existence of periodic solutions. These conditions can be used to design globally stable networks, and they are easy to check and apply in practice. 2000 Academic Press.

引用

页码：38 / 46

页数：9

共 50 条

[21] Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions of a General Delayed BAM Neural Networks
Lian Duan
[J]. Journal of Systems Science and Complexity, 2018, 31 : 608 - 620
[22] Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions of a General Delayed BAM Neural Networks
DUAN Lian
[J]. Journal of Systems Science & Complexity, 2018, 31 (03) : 608 - 620
[23] Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions of a General Delayed BAM Neural Networks
Duan, Lian
[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 31 (03) : 608 - 620
[24] Global exponential stability and periodic solutions of recurrent neural networks with delays
Huang, H
Cao, JD
Wang, J
[J]. PHYSICS LETTERS A, 2002, 298 (5-6) : 393 - 404
[25] Global exponential stability and periodic solutions of delay Hopfield neural networks
Yi, Z
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1996, 27 (02) : 227 - 231
[26] Existence and global exponential stability of anti-periodic solutions for delayed quaternion-valued cellular neural networks with impulsive effects
Li, Yongkun
Qin, Jiali
Li, Bing
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (01) : 5 - 23
[27] Existence and Global Exponential Stability of Periodic Solutions for General Shunting Inhibitory Cellular Neural Networks with Delays
De Fei ZHANG
[J]. Journal of Mathematical Research with Applications, 2010, (06) : 1125 - 1136
[28] Existence and exponential stability of almost periodic solutions for cellular neural networks without global Lipschitz conditions
Liu, Bingwen
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) : 873 - 887
[29] Existence and Global Exponential Stability of Periodic Solutions for General Shunting Inhibitory Cellular Neural Networks with Delays
De Fei ZHANGXin Song YANGYao LONGPing HE Department of MathematicsHonghe UniversityYunnan PRChina
[J]. 数学研究与评论, 2010, 30 (06) : 1125 - 1136
[30] Existence and exponential stability of periodic solutions of cellular neural networks with impulses and delays
Wang, Hui
Li, Chuandong
[J]. 2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 6305 - +

← 1 2 3 4 5 →