Global asymptotic stability and global exponential stability of delayed cellular neural networks

被引：84
作者：
Liao, XXX [1 ]
Wang, J
Zeng, ZG
机构：
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Hong Kong, Hong Kong, Peoples R China
[3] Wuhan Univ, Sch Automat, Wuhan 430070, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2005年 / 52卷 / 07期
关键词：
cellular neural networks (CNNs); cloning template; global asymptotic stability; global exponential stability;
D O I：
10.1109/TCSII.2005.850413
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this brief, many novel theorems and corollaries are presented regarding the global asymptotic stability and global exponential stability of cellular neural networks with constant and variable time delays. The stability conditions in the new results improve and generalize existing ones. Several examples are discussed to compare the new results with the existing ones.
引用
收藏
页码：403 / 409
页数：7
相关论文
共 16 条
[1]   An improved global stability result for delayed cellular neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08) :1211-1214
[2]   On the global asymptotic stability of delayed cellular neural networks [J].
Arik, S ;
Tavsanoglu, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :571-574
[3]   An analysis of global asymptotic stability of delayed cellular neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05) :1239-1242
[4]   Equilibrium analysis of delayed CNN's [J].
Arik, S ;
Tavsanoglu, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (02) :168-171
[5]   On exponential stability and periodic solutions of CNNs with delays [J].
Cao, J .
PHYSICS LETTERS A, 2000, 267 (5-6) :312-318
[6]   A set of stability criteria for delayed cellular neural networks [J].
Cao, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498
[7]   Global stability conditions for delayed CNNs [J].
Cao, J. .
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333
[8]   STABILITY OF A CLASS OF NONRECIPROCAL CELLULAR NEURAL NETWORKS [J].
CHUA, LO ;
ROSKA, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (12) :1520-1527
[9]   ON STABILITY OF CELLULAR NEURAL NETWORKS WITH DELAY [J].
CIVALLERI, PP ;
GILLI, M ;
PANDOLFI, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (03) :157-165
[10]  
Hale J. K., 1977, Applied Mathematical Sciences, V3
12