Adaptive State Estimation of Stochastic Delayed Neural Networks with Fractional Brownian Motion

被引:0
|
作者
Xuechao Yan
Dongbing Tong
Qiaoyu Chen
Wuneng Zhou
Yuhua Xu
机构
[1] Shanghai University of Engineering Science,School of Electronic and Electrical Engineering
[2] Shanghai Lixin University of Accounting and Finance,School of Statistics and Mathematics
[3] Donghua University,College of Information Science and Technology
[4] Nanjing Audit University,School of Finance
来源
Neural Processing Letters | 2019年 / 50卷
关键词
State estimation; Neural networks; Fractional Brownian motion (FBM); Asymptotic stability; Exponential stability;
D O I
暂无
中图分类号
学科分类号
摘要
This paper considers the adaptive state estimation problem for stochastic neural networks with fractional Brownian motion (FBM). The problem for the stochastic neural networks with FBM is handled according to the theory of Hilbert–Schmidt and the principle of analytic semigroup. Using the stochastic analytic technique and adaptive control method, the asymptotic stability and the exponential stability criteria are established. Finally, a simulation example is given to prove the efficiency of developed criteria.
引用
收藏
页码:2007 / 2020
页数:13
相关论文
共 50 条
  • [21] Parameter estimation for partially observed stochastic differential equations driven by fractional Brownian motion
    Wei, Chao
    AIMS MATHEMATICS, 2022, 7 (07): : 12952 - 12961
  • [22] State estimation for delayed neural networks with stochastic communication protocol: The finite-time case
    Alsaadi, Fuad E.
    Luo, Yuqiang
    Liu, Yurong
    Wang, Zidong
    NEUROCOMPUTING, 2018, 281 : 86 - 95
  • [23] State Estimation of Fractional-Order Neural Networks with Time Delay
    Bao, Haibo
    Cao, Jinde
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 1573 - 1577
  • [24] State estimation for fractional-order neural networks
    Wang, Fei
    Yang, Yongqing
    Hu, Manfeng
    Xu, Xianyun
    OPTIK, 2015, 126 (23): : 4083 - 4086
  • [25] Neutral stochastic differential equations driven by Brownian motion and fractional Brownian motion in a Hilbert space
    Liu, Weiguo
    Luo, Jiaowan
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, 87 (1-2): : 235 - 253
  • [26] Exponential State Estimation for Stochastic Complex Dynamical Networks with Multi-Delayed Base on Adaptive Control
    Tong, Dongbing
    Zhou, Wuneng
    Wang, Han
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (05) : 963 - 968
  • [27] Non-fragile state estimation for fractional-order delayed memristive BAM neural networks
    Bao, Haibo
    Park, Ju H.
    Cao, Jinde
    NEURAL NETWORKS, 2019, 119 : 190 - 199
  • [28] Stochastic state estimation for neural networks with distributed delays and Markovian jump
    Chen, Yun
    Zheng, Wei Xing
    NEURAL NETWORKS, 2012, 25 : 14 - 20
  • [29] Robust state estimation for fractional-order delayed BAM neural networks via LMI approach
    Nagamani, G.
    Shafiya, M.
    Soundararajan, G.
    Prakash, Mani
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (08): : 4964 - 4982
  • [30] Stochastic sampled-data control for state estimation of time-varying delayed neural networks
    Lee, Tae H.
    Park, Ju H.
    Kwon, O. M.
    Lee, S. M.
    NEURAL NETWORKS, 2013, 46 : 99 - 108