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
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2012年 / 23卷 / 06期
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 stability of stochastic delayed genetic regulatory networks
    Wang, Zhengxia
    Liu, Guodong
    Sun, Yanhong
    Wu, Hongli
    COGNITIVE NEURODYNAMICS, 2009, 3 (03) : 271 - 280
  • [42] Exponential stability analysis of delayed memristor-based recurrent neural networks with impulse effects
    Huamin Wang
    Shukai Duan
    Chuandong Li
    Lidan Wang
    Tingwen Huang
    Neural Computing and Applications, 2017, 28 : 669 - 678
  • [43] Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays
    Li, Hongyi
    Chen, Bing
    Zhou, Qi
    Fang, Shengle
    PHYSICS LETTERS A, 2008, 372 (19) : 3385 - 3394
  • [44] Exponential stability analysis of uncertain stochastic neural networks with multiple delays
    Huang, He
    Cao, Jinde
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (02) : 646 - 653
  • [45] Delay-difference-dependent robust exponential stability for uncertain stochastic neural networks with multiple delays
    Xia, Jianwei
    Park, Ju H.
    Zeng, Hongbing
    Shen, Hao
    NEUROCOMPUTING, 2014, 140 : 210 - 218
  • [46] 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
  • [47] 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
  • [48] 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
  • [49] 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
  • [50] 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
12345