Robust stability of uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms

被引:40
作者
Balasubramaniam, P. [1 ]
Ali, M. Syed [1 ]
机构
[1] Gandhigram Rural Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
关键词
Fuzzy cellular neural networks; Global stability; Linear matrix inequality; Lyapunov functional; Reaction diffusion terms; GLOBAL EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; CONVERGENCE; EXISTENCE; LOTKA;
D O I
10.1016/j.neucom.2010.08.014
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 the problem of global asymptotic stability for uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms is considered Based on Lyapunov stability theory combined with linear matrix inequality (LMI) techniques some new stability criteria in terms of LMIs are derived by introducing some free weighting matrices which can be selected properly to lead much less conservative results Finally three illustrative examples are given to demonstrate the effectiveness of the proposed stability results (C) 2010 Elsevier B V All rights reserved
引用
收藏
页码:439 / 446
页数:8
相关论文
共 31 条
[1]   Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays [J].
Ali, M. Syed ;
Balasubramaniam, P. .
PHYSICS LETTERS A, 2008, 372 (31) :5159-5166
[2]  
[Anonymous], 1994, LINEAR MATRIX INEQUA
[3]  
CRONIN J, 1964, MATH SURVEYS, V11
[4]   Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms [J].
Cui, BT ;
Lou, XY .
CHAOS SOLITONS & FRACTALS, 2006, 27 (05) :1347-1354
[5]  
Gahinet P., 1995, LMI Control Toolbox
[6]  
HASTINGS A, 1978, J MATH BIOL, V6, P163, DOI 10.1007/BF02450786
[7]   Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays [J].
Huang, Tingwen ;
Huang, Yu ;
Li, Chuandong .
NEUROCOMPUTING, 2008, 71 (16-18) :3064-3069
[8]   Exponential stability of delayed fuzzy cellular neural networks with diffusion [J].
Huang, Tingwen .
CHAOS SOLITONS & FRACTALS, 2007, 31 (03) :658-664
[9]   Exponential stability of fuzzy cellular neural networks with distributed delay [J].
Huang, TW .
PHYSICS LETTERS A, 2006, 351 (1-2) :48-52
[10]   Global stability analysis for delayed neural networks via an interval matrix approach [J].
Li, C. ;
Liao, X. ;
Huang, T. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03) :743-748