Stability of stochastic fuzzy BAM neural networks with discrete and distributed time-varying delays

被引：45
作者：
Ali, M. Syed [1 ]
Balasubramaniam, P. [2 ]
Zhu, Quanxin [3 ,4 ]
机构：
[1] Thiruvalluvar Univ, Dept Math, Vellore, Tamil Nadu, India
[2] Gandhigram Rural Univ, Dept Math, Dindigul, Tamil Nadu, India
[3] Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China
[4] Nanjing Normal Univ, Inst Finance & Stat, Nanjing, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2017年 / 8卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Discrete and distributed time-varying delay; Global stability; Linear matrix inequality; Takagi-Sugeno fuzzy; Stochastic fuzzy BAM neural network; GLOBAL ASYMPTOTIC STABILITY; ROBUST EXPONENTIAL STABILITY; SYSTEMS;
D O I：
10.1007/s13042-014-0320-7
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Among the various fuzzy models, the well-known Takagi-Sugeno (T-S) fuzzy model is recognized as a popular and powerful tool in approximating a complex nonlinear system. T-S model provides a fixed structure to some nonlinear systems and facilitates the analysis of the system. This paper deals with the global stability of stochastic bidirectional associative memory (BAM) neural networks with discrete and distributed time-varying delays which are represented by the T-S fuzzy models. The stability conditions are derived using Lyapunov-Krasovskii functional combined with the linear matrix inequality (LMI) techniques. Finally, numerical examples are given to demonstrate the correctness of the theoretical results.
引用
收藏
页码：263 / 273
页数：11
相关论文
共 54 条
[1]   Passive and exponential filter design for fuzzy neural networks [J].
Ahn, Choon Ki .
INFORMATION SCIENCES, 2013, 238 :126-137
[2]   Robust stability analysis of Takagi-Sugeno uncertain stochastic fuzzy recurrent neural networks with mixed time-varying delays [J].
Ali, M. Syed .
CHINESE PHYSICS B, 2011, 20 (08)
[3]   Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays [J].
Ali, M. Syed ;
Balasubramaniam, P. .
EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (07) :10583-10588
[4]   Exponential stability of uncertain stochastic fuzzy BAM neural networks with time-varying delays [J].
Ali, M. Syed ;
Balasubramaniam, P. .
NEUROCOMPUTING, 2009, 72 (4-6) :1347-1354
[5]  
[Anonymous], VIETNAM J MATH
[6]  
[Anonymous], 1994, LINEAR MATRIX INEQUA
[7]  
[Anonymous], CHIN PHYS B
[8]   Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays [J].
Arik, S .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (03) :580-586
[9]   Classifying cognitive states of brain activity via one-class neural networks with feature selection by genetic algorithms [J].
Boehm, Omer ;
Hardoon, David R. ;
Manevitz, Larry M. .
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2011, 2 (03) :125-134
[10]   Small-world networks of fuzzy chaotic oscillators [J].
Bucolo, M ;
Fazzino, S ;
La Rosa, M ;
Fortuna, L .
CHAOS SOLITONS & FRACTALS, 2003, 17 (2-3) :557-565
123456