Robust Exponential Stability of Uncertain Delayed Neural Networks With Stochastic Perturbation and Impulse Effects

被引:1
|
作者
Huang, Tingwen [1 ]
Li, Chuandong [2 ]
Duan, Shukai [3 ]
Starzyk, Janusz A. [4 ,5 ]
机构
[1] Texas A&M Univ Qatar, Doha 23874, Qatar
[2] Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China
[3] Southwest Univ, Sch Elect & Informat Engn, Chongqing 400715, Peoples R China
[4] Ohio Univ, Sch Elect Engn & Comp Sci, Athens, OH 45701 USA
[5] Univ Informat Technol & Management, PL-35064 Rzeszow, Poland
基金
中国国家自然科学基金;
关键词
Delayed neural networks (DNN); exponential stability; impulse; mean-square stability; parameter uncertainty; stochastic perturbation; TIME-VARYING DELAYS; GLOBAL ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; LINEAR-SYSTEMS; MIXED DELAYS; DISCRETE; STABILIZATION;
D O I
暂无
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 hybrid effects of parameter uncertainty, stochastic perturbation, and impulses on global stability of delayed neural networks. By using the Ito formula, Lyapunov function, and Halanay inequality, we established several mean-square stability criteria from which we can estimate the feasible bounds of impulses, provided that parameter uncertainty and stochastic perturbations are well-constrained. Moreover, the present method can also be applied to general differential systems with stochastic perturbation and impulses.
引用
收藏
页码:866 / 875
页数:10
相关论文
共 50 条
  • [41] Robust Exponential Stability Criteria for T–S Fuzzy Stochastic Delayed Neural Networks of Neutral Type
    S. Muralisankar
    N. Gopalakrishnan
    P. Balasubramaniam
    Circuits, Systems, and Signal Processing, 2011, 30
  • [42] Stochastic Exponential Robust Stability of Delayed Complex-Valued Neural Networks With Markova Jumping Parameters
    Xu, Xiaohui
    Xu, Quan
    Peng, Yiqiang
    Zhang, Jiye
    Xu, Yanhai
    IEEE ACCESS, 2018, 6 : 839 - 849
  • [43] Global exponential synchronization for coupled switched delayed recurrent neural networks with stochastic perturbation and impulsive effects
    Zhang, Wei
    Li, Chuandong
    Huang, Tingwen
    Qi, Jiangtao
    NEURAL COMPUTING & APPLICATIONS, 2014, 25 (06): : 1275 - 1283
  • [44] Global exponential synchronization for coupled switched delayed recurrent neural networks with stochastic perturbation and impulsive effects
    Wei Zhang
    Chuandong Li
    Tingwen Huang
    Jiangtao Qi
    Neural Computing and Applications, 2014, 25 : 1275 - 1283
  • [45] New Criteria on Delay-Dependent Robust Stability for Uncertain Markovian Stochastic Delayed Neural Networks
    Chen, Huabin
    Wang, Jinjing
    Wang, Liu
    NEURAL PROCESSING LETTERS, 2015, 42 (02) : 275 - 290
  • [47] New Criteria on Delay-Dependent Robust Stability for Uncertain Markovian Stochastic Delayed Neural Networks
    Huabin Chen
    Jinjing Wang
    Liu Wang
    Neural Processing Letters, 2015, 42 : 275 - 290
  • [48] pth moment exponential stability for impulsive stochastic delayed neural networks
    Tang, Yang
    Wu, Xiaotai
    Zhang, Wenbing
    2016 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2016, : 165 - 170
  • [49] Mean square exponential stability of stochastic delayed Hopfield neural networks
    Wan, L
    Sun, HH
    PHYSICS LETTERS A, 2005, 343 (04) : 306 - 318
  • [50] Global robust exponential stability analysis for delayed recurrent neural networks
    Zhang, Zhizhou
    Zhang, Lingling
    She, Longhua
    Huang, Lihong
    2008 INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, VOLS 1-4, 2008, : 499 - +