A new sufficient condition for complete stability of cellular neural networks with delay

被引：96

作者：

Takahashi, N ^{[1
]}

机构：

[1] Kyushu Univ, Dept Informat, Fukuoka 8168580, Japan

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2000年 / 47卷 / 06期

关键词：

cellular neural networks; complete stability; delay; Gauss-Seidel method;

D O I：

10.1109/81.852931

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：

This paper gives a new sufficient condition for cellular neural networks with delay (DCNN's) to be completely stable. A fixed-point theorem and a convergence theorem of the Gauss-Seidel method play important roles in the proof, while most conventional stability criteria were obtained by constructing Lyapunov functionals. © 2000 IEEE.

引用

页码：793 / 799

页数：7

共 18 条

[1]

Arik S, 1996, INT J CIRC THEOR APP, V24, P269, DOI 10.1002/(SICI)1097-007X(199605/06)24:3<269::AID-CTA915>3.0.CO

[2]

2-L

[3] 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

[4]

Burden R L, 1978, NUMERICAL ANAL

[5] Stability analysis of delayed cellular neural networks [J].

Cao, JD ;

Zhou, DM .

NEURAL NETWORKS, 1998, 11 (09) :1601-1605

[6] CELLULAR NEURAL NETWORKS - APPLICATIONS [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290

[7] CELLULAR NEURAL NETWORKS - THEORY [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272

[8] ON THE UNIVERSE OF STABLE CELLULAR NEURAL NETWORKS [J].

CHUA, LO ;

WU, CW .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1992, 20 (05) :497-517

[9] 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

[10]

Chua LO, 1998, CNN: A Paradigm for Complexity

← 1 2 →