Stochastic stability analysis for neural networks with mixed time-varying delays

被引：4
|
作者：
Ma, Yuechao [1 ]
Zheng, Yuqing [1 ]
机构：
[1] Yanshan Univ, Coll Sci, Qinhuangdao, Hebei Province, Peoples R China
来源：
NEURAL COMPUTING & APPLICATIONS | 2015年 / 26卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Stochastic stability; Markovian jumping; Discrete time delays; Distributed time delays; Lyapunov-Krasovskii functional; GLOBAL ASYMPTOTIC STABILITY; MARKOVIAN JUMPING PARAMETERS; UNBOUNDED DISTRIBUTED DELAYS; DEPENDENT ROBUST STABILITY; EXPONENTIAL STABILITY; NEUTRAL SYSTEMS; DISCRETE; CONTROLLABILITY; STABILIZABILITY; CRITERION;
D O I：
10.1007/s00521-014-1735-5
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 is concerned with the problem of the stochastic stability analysis for Markovian jumping neural networks with time-varying delays and stochastic perturbation. Some criteria for the stability and robust stability of such neural networks are derived, by means of constructing suitable Lyapunov-Krasovskii functionals and a unified linear matrix inequality (LMI) approach. Note that the LMIs can be easily solved by using the Matlab LMI toolbox and no tuning of parameters is required. Finally, numerical examples are used to illustrate the effectiveness and advantage of the proposed techniques.
引用
收藏
页码：447 / 455
页数：9
相关论文
共 50 条
  • [31] On Stability Analysis for Generalized Neural Networks with Time-Varying Delays
    Park, M. J.
    Kwon, O. M.
    Cha, E. J.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [32] Stability analysis of BAM neural networks with time-varying delays
    Zhang Huaguang
    Wang Zhanshan
    PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL, 2007, 17 (02) : 206 - 211
  • [33] Stability analysis of BAM neural networks with time-varying delays
    School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
    不详
    Prog Nat Sci, 2007, 2 (206-211):
  • [34] H∞ state estimation of stochastic neural networks with mixed time-varying delays
    Saravanakumar, R.
    Ali, M. Syed
    Hua, Mingang
    SOFT COMPUTING, 2016, 20 (09) : 3475 - 3487
  • [35] Adaptive synchronization for stochastic competitive neural networks with mixed time-varying delays
    Gan, Qintao
    Hu, Renxi
    Liang, Yuhua
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) : 3708 - 3718
  • [36] ROBUST EXPONENTIAL STABILITY OF UNCERTAIN FUZZY STOCHASTIC NEUTRAL NEURAL NETWORKS WITH MIXED TIME-VARYING DELAYS
    Li, Yajun
    Deng, Feiqi
    Xie, Fei
    Jiao, Like
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2018, 14 (02): : 615 - 627
  • [37] New Results on Robust Exponential Stability of Uncertain Stochastic Neural Networks with Mixed Time-Varying Delays
    Hua, Mingang
    Liu, Xinzhi
    Deng, Feiqi
    Fei, Juntao
    NEURAL PROCESSING LETTERS, 2010, 32 (03) : 219 - 233
  • [38] New Results on Robust Exponential Stability of Uncertain Stochastic Neural Networks with Mixed Time-Varying Delays
    Mingang Hua
    Xinzhi Liu
    Feiqi Deng
    Juntao Fei
    Neural Processing Letters, 2010, 32 : 219 - 233
  • [39] Stochastic stability analysis of neutral-type impulsive neural networks with mixed time-varying delays and Markovian jumping
    Zhang, Huaguang
    Dong, Meng
    Wang, Yingchun
    Sun, Ning
    NEUROCOMPUTING, 2010, 73 (13-15) : 2689 - 2695
  • [40] Global Asymptotic Stability of Stochastic Neural Networks with Distributed and Time-Varying Delays
    Feng, Wei
    Zhang, Wei
    Wu, Haixia
    Peng, Jun
    PROCEEDINGS OF THE 8TH IEEE INTERNATIONAL CONFERENCE ON COGNITIVE INFORMATICS, 2009, : 227 - +
12345