Stability analysis of fuzzy Markovian jumping Cohen-Grossberg BAM neural networks with mixed time-varying delays

被引:44
作者
Sathy, R. [1 ]
Balasubramaniam, P. [1 ]
机构
[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
关键词
Stability; Fuzzy; Markovian jumping; Cohen-Grossberg; Bi directional associative memory; Neural networks; Mixed time varying delays; GLOBAL EXPONENTIAL STABILITY; ROBUST STABILITY; ASYMPTOTIC STABILITY; CRITERIA; SYSTEMS;
D O I
10.1016/j.cnsns.2010.08.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we investigate the robust stability of uncertain fuzzy Markovian jumping Cohen-Grossberg BAM neural networks with discrete and distributed time varying delays A new delay dependent stability condition is derived under uncertain switching probabilities by Takagi-Sugeno fuzzy model Based on the linear matrix inequality (LMI) technique upper bounds for the discrete and distributed delays are calculated using the LMI toolbox in MATLAB Numerical examples are provided to illustrate the effectiveness of the pro posed method (C) 2010 Elsevier B V All rights reserved
引用
收藏
页码:2054 / 2064
页数:11
相关论文
共 41 条
[1]  
[Anonymous], 1992, Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence
[2]   Global stability analysis of Cohen-Grossberg neural networks with time varying delays [J].
Arik, S ;
Orman, Z .
PHYSICS LETTERS A, 2005, 341 (5-6) :410-421
[3]   Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays [J].
Balasubramaniam, P. ;
Rakkiyappan, R. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) :207-214
[4]   Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models [J].
Cao, YY ;
Frank, PM .
FUZZY SETS AND SYSTEMS, 2001, 124 (02) :213-229
[5]   Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach [J].
Cao, YY ;
Frank, PM .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (02) :200-211
[6]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[7]   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
[8]   Stability analysis of bidirectional associative memory networks with time delays [J].
Feng, CH ;
Plamondon, R .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2003, 14 (06) :1560-1565
[9]   LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays [J].
Fu, Xilin ;
Li, Xiaodi .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :435-454
[10]   Robust exponential stability of Markovian jumping neural networks with time-varying delay [J].
Gao, Ming ;
Lou, Xuyang ;
Cui, Baotong .
INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2008, 18 (03) :207-218