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
  • [41] Exponential stability of hybrid stochastic recurrent neural networks with time-varying delays
    Peng, Guoqiang
    Huang, Lihong
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (04) : 1198 - 1204
  • [42] Robust μ-stability for uncertain stochastic neural networks with unbounded time-varying delays
    Liu, Xiwei
    Chen, Tianping
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (12) : 2952 - 2962
  • [43] Exponential stability of stochastic interval Hopfield neural networks with time-varying delays
    Li, Xiaolin
    Cao, Jinde
    NEURAL NETWORK WORLD, 2007, 17 (01) : 31 - 40
  • [44] Stability analysis for discrete-time neural networks with time-varying delays and stochastic parameter uncertainties
    Kwon, O. M.
    Park, M. J.
    Lee, S. M.
    Cha, E. J.
    CANADIAN JOURNAL OF PHYSICS, 2015, 93 (04) : 398 - 408
  • [45] Robust stability of discrete-time stochastic neural networks with time-varying delays
    Liu, Yurong
    Wang, Zidong
    Liu, Xiaohui
    NEUROCOMPUTING, 2008, 71 (4-6) : 823 - 833
  • [46] Robust stability analysis for discrete-time stochastic neural networks systems with time-varying delays
    Luo, Mengzhuo
    Zhong, Shouming
    Wang, Rongjun
    Kang, Wei
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) : 305 - 313
  • [47] Exponential Stability Analysis for Discrete-Time Stochastic BAM Neural Networks with Time-Varying Delays
    Qin, Tiheng
    Pan, Quanxiang
    Chen, Yonggang
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 659 - +
  • [48] Exponential stability analysis for neutral BAM neural networks with time-varying delays and stochastic disturbances
    Bo Chen
    Li Yu
    Wen’an Zhang
    Journal of Control Theory and Applications, 2012, 10 (1): : 92 - 99
  • [49] Stability Analysis of Stochastic Fuzzy Neural Networks with Time-Varying Delays and Reaction–Diffusion Terms
    Hongyu Zhang
    Chenhui Zhou
    Hongbin Zhang
    Qichong Tian
    Gang Wang
    Circuits, Systems, and Signal Processing, 2014, 33 : 713 - 732
  • [50] Global robust exponential stability analysis for stochastic interval neural networks with time-varying delays
    Su, Weiwei
    Chen, Yiming
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) : 2293 - 2300
12345