Improved delay-dependent stability analysis for uncertain stochastic neural networks with time-varying delay

被引:7
|
作者
Liu, Fang [1 ]
Wu, Min [1 ]
He, Yong [1 ]
Yokoyama, Ryuichi [2 ]
机构
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China
[2] Waseda Univ, Grad Sch Environm & Energy Engn, Shinjuku Ku, Tokyo 1698555, Japan
来源
NEURAL COMPUTING & APPLICATIONS | 2011年 / 20卷 / 03期
基金
中国国家自然科学基金;
关键词
Uncertain stochastic neural networks; Time-varying delay; Ito's differential formula; Robust stability; Linear matrix inequality (LMI); GLOBAL EXPONENTIAL STABILITY; ROBUST STABILITY; ASYMPTOTIC STABILITY; NEUTRAL TYPE; DISCRETE; CRITERIA; SYSTEMS;
D O I
10.1007/s00521-010-0408-2
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 focuses on the problem of delay-dependent robust stability analysis for a class of uncertain stochastic neural networks with time-varying delay by employing improved free-weighting matrix method. Taking the relationship among the time-varying delay, its upper bound and their difference into account and using It's differential formula, some improved LMI-based delay-dependent stability criteria for stochastic neural networks are obtained without ignoring any terms, which guarantee systems globally robustly stochastically stable in the mean square. Finally, three numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
引用
收藏
页码:441 / 449
页数:9
相关论文
共 50 条
  • [31] Delay-dependent robust stability for uncertain stochastic fuzzy Hopfield neural networks with time-varying delays
    Sheng, Li
    Gao, Ming
    Yang, Huizhong
    FUZZY SETS AND SYSTEMS, 2009, 160 (24) : 3503 - 3517
  • [32] Delay-dependent Robust Stability for Uncertain Stochastic Neural Networks with Multiple Mixed Time-varying Delays
    Qin Tiheng
    Pan Quanxiang
    Chen Yonggang
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2429 - 2433
  • [33] Delay-dependent robust stability analysis for interval neural networks with time-varying delay
    School of Information Science and Engineering, Central South University, Changsha 410083, China
    不详
    不详
    IEEJ Trans. Electr. Electron. Eng., 4 (345-352):
  • [34] DELAY-DEPENDENT ROBUST STABILITY ANALYSIS FOR RECURRENT NEURAL NETWORKS WITH TIME-VARYING DELAY
    Liu, Pin-Lin
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2013, 9 (08): : 3341 - 3355
  • [35] Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearities
    Yan Huaicheng
    Meng Max Q.-H.
    Zhang Hao
    Huang Xinhan
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 136 - +
  • [36] Delay-Dependent Robust Stability of Uncertain Nonlinear Stochastic Systems with Time-Varying Delay
    Wang, Cheng
    Xu, Yun
    ADVANCES IN COMPUTER SCIENCE, ENVIRONMENT, ECOINFORMATICS, AND EDUCATION, PT III, 2011, 216 : 424 - 429
  • [37] Robust Delay-dependent Exponential Stability of Uncertain Stochastic System with Time-varying Delay
    Hua, Mingang
    Deng, Feiqi
    Liu, Xinzhi
    Peng, Yunjian
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2010, 29 (03) : 515 - 526
  • [38] Delay-dependent stability analysis for neural networks with additive time-varying delay components
    Zhu, Xun-Lin
    Yue, Dong
    Wang, Youyi
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (03): : 354 - 362
  • [39] Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay
    Yan, Huaicheng
    Huang, Xinhan
    Zhang, Hao
    Wang, Min
    CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1668 - 1679
  • [40] Robust Delay-dependent Exponential Stability of Uncertain Stochastic System with Time-varying Delay
    Mingang Hua
    Feiqi Deng
    Xinzhi Liu
    Yunjian Peng
    Circuits, Systems and Signal Processing, 2010, 29 : 515 - 526