An improved stability result for delayed Takagi-Sugeno fuzzy Cohen-Grossberg neural networks

被引:10
作者
Orman, Zeynep [1 ]
机构
[1] Istanbul Univ Cerrahpasa, Fac Engn, Dept Comp Engn, TR-34320 Istanbul, Turkey
关键词
Cohen-Grossberg neural systems; Stability analysis; Fuzzy theory; Time delays; ROBUST EXPONENTIAL STABILITY; ACTIVATION FUNCTIONS; TIME-DELAYS; MULTISTABILITY; DESIGN; SYSTEM;
D O I
10.1016/j.neunet.2018.09.008
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This work proposes a novel and improved delay independent global asymptotic stability criterion for delayed Takagi-Sugeno (T-S) fuzzy Cohen-Grossberg neural networks exploiting a suitable fuzzy-type Lyapunov functional in the presence of the nondecreasing activation functions having bounded slopes. The proposed stability criterion can be easily validated as it is completely expressed in terms of the system matrices of the fuzzy neural network model considered. It will be shown that the stability criterion obtained in this work for this type of fuzzy neural networks improves and generalizes some of the previously published stability results. A constructive numerical example is also given to support the proposed theoretical results. (c) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:445 / 451
页数:7
相关论文
共 31 条
[1]  
Ahn CK, 2011, NEURAL PROCESS LETT, V34, P59, DOI 10.1007/s11063-011-9183-z
[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]   Finite-Time Stability of Stochastic Cohen-Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays [J].
Arslan, Emel ;
Ali, M. Syed ;
Saravanan, S. .
NEURAL PROCESSING LETTERS, 2017, 46 (01) :71-81
[4]   Stability analysis of Takagi-Sugeno fuzzy Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays [J].
Balasubramaniam, P. ;
Ali, M. Syed .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (1-2) :151-160
[5]   Robust stability analysis of interval fuzzy Cohen-Grossberg neural networks with piecewise constant argument of generalized type [J].
Bao, Gang ;
Wen, Shiping ;
Zeng, Zhigang .
NEURAL NETWORKS, 2012, 33 :32-41
[6]   Delay Dependent Exponential Stability for Fuzzy Recurrent Neural Networks with Interval Time-Varying Delay [J].
Chandran, R. ;
Balasubramaniam, P. .
NEURAL PROCESSING LETTERS, 2013, 37 (02) :147-161
[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]   Multistability and Multiperiodicity for a Class of Cohen-Grossberg BAM Neural Networks with Discontinuous Activation Functions and Time Delays [J].
Du, Yanke ;
Xu, Rui .
NEURAL PROCESSING LETTERS, 2015, 42 (02) :417-435
[9]   Global asymptotic stability of Markovian jumping stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays [J].
Du, Yuanhua ;
Zhong, Shouming ;
Zhou, Nan .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 :624-636
[10]   Attracting and invariant sets of fuzzy Cohen-Grossberg neural networks with time-varying delays [J].
He, Danhua ;
Xu, Daoyi .
PHYSICS LETTERS A, 2008, 372 (47) :7057-7062