Globally Exponential Stability for Stochastic Delayed Neural Networks Under Impulsive Control

被引：1
|
作者：
Li, Xiao-ai [1 ]
Zou, Jie-zhong [1 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410007, Hunan, Peoples R China
来源：
CEIS 2011 | 2011年 / 15卷
关键词：
stochastic neural networks; impulsive control; time-varying delays; globally exponential stability;
D O I：
10.1016/j.proeng.2011.08.074
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the dynamic behaviors of a class of stochastic neural networks with time-varying delays and fixed moments of impulsive effect are considered. A new sufficient condition has been presented ensuring the global exponential stability for the equilibrium point by using Lyapunov functional method, stochastic theory and inequality technique. The results established here extend those given previously in the literatures. Finally, an example with simulation is given to show the effectiveness of the obtained results. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of [CEIS 2011]
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Globally Exponential Stability for Delayed Neural Networks Under Impulsive Control
    Hu, Cheng
    Jiang, Haijun
    Teng, Zhidong
    [J]. NEURAL PROCESSING LETTERS, 2010, 31 (02) : 105 - 127
  • [2] Globally Exponential Stability for Delayed Neural Networks Under Impulsive Control
    Cheng Hu
    Haijun Jiang
    Zhidong Teng
    [J]. Neural Processing Letters, 2010, 31 : 105 - 127
  • [3] pth moment exponential stability for impulsive stochastic delayed neural networks
    Tang, Yang
    Wu, Xiaotai
    Zhang, Wenbing
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2016, : 165 - 170
  • [4] Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching
    Gao, Yan
    Zhou, Wuneng
    Ji, Chuan
    Tong, Dongbing
    Fang, Jian'an
    [J]. NONLINEAR DYNAMICS, 2012, 70 (03) : 2107 - 2116
  • [5] Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching
    Yan Gao
    Wuneng Zhou
    Chuan Ji
    Dongbing Tong
    Jian’an Fang
    [J]. Nonlinear Dynamics, 2012, 70 : 2107 - 2116
  • [6] Robust exponential stability of uncertain impulsive stochastic neural networks with delayed impulses
    Li, Dianqiang
    Cheng, Pei
    Hua, Mingang
    Yao, Fengqi
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (17): : 8597 - 8618
  • [7] Globally Exponential Stability of Delayed Neural Networks with Impulses
    Zhou, Jin
    Wu, Quanjun
    Xiang, Lan
    Zhang, Gang
    [J]. 11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2010), 2010, : 24 - 29
  • [8] On the exponential synchronization of stochastic impulsive chaotic delayed neural networks
    Ma, Tiedong
    Fu, Jie
    [J]. NEUROCOMPUTING, 2011, 74 (05) : 857 - 862
  • [9] Globally asymptotic stability and globally exponential stability of a class of delayed cellular neural networks
    Zhang, Fa-Ming
    [J]. Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology), 2005, 36 (01): : 128 - 132
  • [10] Globally Exponential Stability of a Class of Impulsive Neural Networks with Variable Delays
    Yang, Jianfu
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    Gao, Chuanxiang
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3166 - 3170
12345