Mean square exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks with expectations in the coefficients

被引：35
|
作者：
Xie, Wenjuan
Zhu, Quanxin [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
来源：
NEUROCOMPUTING | 2015年 / 166卷
基金：
中国国家自然科学基金;
关键词：
Stochastic fuzzy Cohen-Grossberg neural network; Time-varying delay; Expectation; Mean square exponential stability; Lyapunov-Krasovskii functional; TIME-VARYING DELAYS; GLOBAL STABILITY; CRITERIA;
D O I：
10.1016/j.neucom.2015.04.020
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 consider a class of stochastic fuzzy Cohen-Grossberg neural networks with timevarying delays. Different from the previous literature, we introduce expectations into coefficients of the model. Under some reasonable conditions, we show that the trivial solution of the suggested system is exponentially stable in the mean square. Finally, an example is given to illustrate the effectiveness of the theoretical results. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：133 / 139
页数：7
相关论文
共 50 条
  • [31] Stochastic Exponential Stability of Cohen-Grossberg Neural Networks with Markovian Jumping Parameters and Mixed Delays
    Xu, Xiaohui
    Zhang, Jiye
    Zhang, Weihua
    ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 : 368 - 374
  • [32] Further results on mean square exponential stability of uncertain stochastic delayed neural networks
    Wu, Yuanyuan
    Wu, Yuqiang
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2830 - +
  • [33] Adaptive exponential synchronization of delayed Cohen-Grossberg neural networks with discontinuous activations
    Wu, Huaiqin
    Zhang, Xiaowei
    Li, Ruoxia
    Yao, Rong
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2015, 6 (02) : 253 - 263
  • [34] Mean-square exponential input-to-state stability of delayed Cohen-Grossberg neural networks with Markovian switching based on vector Lyapunov functions
    Li, Zhihong
    Liu, Lei
    Zhu, Quanxin
    NEURAL NETWORKS, 2016, 84 : 39 - 46
  • [35] Dynamics of delayed Cohen-Grossberg neural networks
    Chang, Ancheng
    Peng, Changlin
    Huang, Chuangxia
    CONFERENCE ON MODELING, IDENTIFICATION AND CONTROL, 2012, 3 : 254 - 261
  • [36] Stochastic Dynamics of Nonautonomous Cohen-Grossberg Neural Networks
    Huang, Chuangxia
    Cao, Jinde
    ABSTRACT AND APPLIED ANALYSIS, 2011, : 1 - 17
  • [37] Almost sure exponential stability of stochastic Cohen-Grossberg neural networks with Markovian jumping and impulses
    Sun, Yunxia
    Cheng, Pei
    Yao, Fengqi
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 1876 - 1881
  • [38] New criteria for globally exponential stability of delayed Cohen-Grossberg neural network
    Chen, Shengshuang
    Zhao, Weirui
    Xu, Yong
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (05) : 1527 - 1543
  • [39] Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations
    Yao, Wei
    Wang, Chunhua
    Sun, Yichuang
    Zhou, Chao
    Lin, Hairong
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 386 (386)
  • [40] Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach
    Cao, JD
    Li, XL
    PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) : 54 - 65
12345