Exponential stability for stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays

被引：26
|
作者：
Du, Yuanhua [1 ]
Zhong, Shouming [1 ]
Zhou, Nan [2 ]
Shi, Kaibo [2 ]
Cheng, Jun [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China
来源：
NEUROCOMPUTING | 2014年 / 127卷
基金：
中国国家自然科学基金;
关键词：
Cohen-Grossberg BAM neural networks; Exponential stability; Linear matrix inequality; Stochastic effect; Time-varying delays; BIDIRECTIONAL ASSOCIATIVE MEMORIES; ROBUST STABILITY;
D O I：
10.1016/j.neucom.2013.08.028
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper considers the issue of exponential stability analysis for stochastic Cohen-Grossberg BAM (SCGBAM) neural networks with discrete and distributed time-varying delays. The exponential stability criteria are proposed by applying stochastic analysis theory and establishing a new Lyapunov-Krasovskii functional. A set of novel sufficient conditions is obtained to guarantee the exponential stability of stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays. The several exponential stability criteria proposed in this paper are simpler and effective. Finally, two numerical examples are provided to demonstrate the low conservatism and effectiveness of the proposed results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：144 / 151
页数：8
相关论文
共 50 条
  • [1] Exponential stability for stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    Shi, Kaibo
    Cheng, Jun
    Neurocomputing, 2014, 127 : 144 - 151
  • [2] Exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays
    Li, XL
    Cao, JD
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 162 - 167
  • [3] Exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and distributed delays
    Zheng, Cheng-De
    Sun, Ri-Ming
    Wang, Zhanshan
    INTERNATIONAL JOURNAL OF INTELLIGENT COMPUTING AND CYBERNETICS, 2013, 6 (02) : 144 - 157
  • [4] Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays
    Zhou, Qinghua
    Wan, Li
    Wang, Hongshan
    Fu, Hongbo
    Zhang, Qunjiao
    AIMS MATHEMATICS, 2023, 8 (08): : 19161 - 19171
  • [5] Global asymptotic stability of Markovian jumping stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 624 - 636
  • [6] Global exponential stability of Cohen-Grossberg neural networks with time-varying delays and continuously distributed delays
    Shen, Y
    Jiang, MH
    Liao, XX
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 156 - 161
  • [7] pth moment exponential stability of stochastic cohen-grossberg neural networks with time-varying delays
    Zhu, Enwen
    Zhang, Haomin
    Wang, Yong
    Zou, Jiezhong
    Yu, Zheng
    Hou, Zhenting
    NEURAL PROCESSING LETTERS, 2007, 26 (03) : 191 - 200
  • [8] pth Moment Exponential Stability of Stochastic Cohen-Grossberg Neural Networks With Time-varying Delays
    Enwen Zhu
    Haomin Zhang
    Yong Wang
    Jiezhong Zou
    Zheng Yu
    Zhenting Hou
    Neural Processing Letters, 2007, 26 : 191 - 200
  • [9] On pth moment exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays
    Huang, Chuangxia
    Cao, Jinde
    NEUROCOMPUTING, 2010, 73 (4-6) : 986 - 990
  • [10] Exponential Stability Analysis of Cohen-Grossberg Neural Networks with Time-varying Delays
    Yi-min MENG
    Acta Mathematicae Applicatae Sinica, 2012, (01) : 181 - 192
12345