Global stability of a class of neural networks with time-varying delay

被引:61
作者
Ensari, T [1 ]
Arik, S [1 ]
机构
[1] Univ Istanbul, Dept Comp Engn, TR-34320 Istanbul, Turkey
关键词
equilibrium and stability analysis; Lyapunov functionals; neural networks; time-varying delays;
D O I
10.1109/TCSII.2004.842050
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 presents a new sufficient condition for the uniqueness and global asymptotic stability of the equilibrium point for a class of neural networks with time-varying delays. The result is obtained by the use of a more general type of Lyapunov-Krasovskii functional, establishing a relation between the network parameters of the neural system and time-varying delay parameter. The result is also shown to be a generalization of a previously published result.
引用
收藏
页码:126 / 130
页数:5
相关论文
共 21 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]   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
[4]  
GILLI M, 1993, IEEE T CIRCUITS SYST, V40, P157
[5]   STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].
GOPALSAMY, K ;
HE, XZ .
PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358
[6]   NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092
[7]   Global exponential stability and periodic solutions of recurrent neural networks with delays [J].
Huang, H ;
Cao, JD ;
Wang, J .
PHYSICS LETTERS A, 2002, 298 (5-6) :393-404
[8]   On the global convergence of a class of functional differential equations with applications in neural network theory [J].
Joy, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 232 (01) :61-81
[9]  
Khalil HK, 1988, NONLINEAR SYSTEMS
[10]  
Liao TL, 2000, IEEE T NEURAL NETWOR, V11, P1481, DOI 10.1109/72.883480