LMI approach for global robust stability of Cohen-Grossberg neural networks with multiple delays

被引:19
作者
Ji, C. [1 ]
Zhang, H. G. [1 ]
Wei, Y. [1 ]
机构
[1] Northeastern Univ, Sch Informat Sci & Engn, Liaoning 110004, Peoples R China
基金
中国国家自然科学基金;
关键词
Cohen-Grossberg neural networks; global robust stability; multiple delays; linear matrix inequality;
D O I
10.1016/j.neucom.2007.07.014
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, we investigate the global robust stability of the equilibrium point of a class of Cohen-Grossberg neural networks with multiple delays and uncertainties. The new criteria for the global robust stability Lire given by way of constructing a suitable Lyapunov functional. The criteria take the form of linear matrix inequality (LMI), and Lire independent of the amplification function. Compared with the other robust stability results, they turn out to be less restrictive. In addition, all results are established without assuming any symmetry of the interconnecting matrix, and the differentiability and monotonicity of activation functions. A simulation example is also given to illustrate the effectiveness of our results. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:475 / 485
页数:11
相关论文
共 19 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[3]   Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].
Chen, TP ;
Rong, LB .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206
[4]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[5]  
Ji C, 2004, LECT NOTES COMPUT SC, V3173, P96
[6]  
JI C, 2005, P 16 IFAC WORLD C PR
[7]  
Ji Ce, 2007, Acta Electronica Sinica, V35, P135
[8]  
Ji Ce, 2004, Control and Decision, V19, P1416
[9]  
Ji C, 2006, LECT NOTES COMPUT SC, V3971, P198
[10]  
Ji Ce, 2005, Acta Electronica Sinica, V33, P115