An analysis of global asymptotic stability of delayed cellular neural networks

被引:257
作者
Arik, S [1 ]
机构
[1] Istanbul Univ, Dept Elect, TR-34850 Istanbul, Turkey
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2002年 / 13卷 / 05期
关键词
delayed cellular neural networks (DCNNs); equilibrium analysis; global stability;
D O I
10.1109/TNN.2002.1031957
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a new sufficient condition is given for the uniqueness and global asymptotic stability of the equilibrium point for delayed cellular neural networks (DCNNs). This condition imposes constraints on the feedback and delayed feedback matrices of a DCNN independently of the delay parameter. This result is also compared with the previous results derived in the literature.
引用
收藏
页码:1239 / 1242
页数:4
相关论文
共 8 条
[1]   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
[2]   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
[3]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[4]  
CHUA LO, P 1990 IEEE INT WORK, P12
[5]  
Liao TL, 2000, IEEE T NEURAL NETWOR, V11, P1481, DOI 10.1109/72.883480
[6]   STABILITY AND DYNAMICS OF DELAY-TYPE GENERAL AND CELLULAR NEURAL NETWORKS [J].
ROSKA, T ;
WU, CW ;
BALSI, M ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1992, 39 (06) :487-490
[7]   STABILITY OF CELLULAR NEURAL NETWORKS WITH DOMINANT NONLINEAR AND DELAY-TYPE TEMPLATES [J].
ROSKA, T ;
WU, CW ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (04) :270-272
[8]  
ROSKA T, P 1990 IEEE INT WORK, P127