Robust state estimation for fractional-order complex-valued delayed neural networks with interval parameter uncertainties: LMI approach

被引:45
|
作者
Hu, Binxin [1 ]
Song, Qiankun [1 ,2 ]
Zhao, Zhenjiang [3 ]
机构
[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
[2] Chongqing Jiaotong Univ, State Key Lab Mt Bridge & Tunnel Engn, Chongqing 400074, Peoples R China
[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
基金
中国国家自然科学基金;
关键词
State estimation; Fractional-order; Complex-valued neural networks; Interval parameter uncertainty; Time delay; STABILITY ANALYSIS; LYAPUNOV FUNCTIONS; GLOBAL STABILITY; DYNAMICS; SYSTEMS; MODEL;
D O I
10.1016/j.amc.2020.125033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Without separating complex-valued neural networks into two real-valued systems, the state estimation of fractional-order complex-valued neural networks (FCNNs) with uncertain parameters and time delay is investigated in this paper. Based on Lyapunov-Krasovskii functional approach, a new linear matrix inequality (LMI) criterion is derived for asymptotic stability of the estimation error system. A numerical example with simulations is given to confirm the feasibility and availability of the raised result. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数:12
相关论文
共 50 条
  • [31] Stability analysis of fractional-order complex-valued neural networks with time delays
    Rakkiyappan, R.
    Velmurugan, G.
    Cao, Jinde
    CHAOS SOLITONS & FRACTALS, 2015, 78 : 297 - 316
  • [32] State estimation for proportional delayed complex-valued memristive neural networks
    Zhang, Yongkang
    Zhou, Liqun
    INFORMATION SCIENCES, 2024, 680
  • [33] Robust Stability Analysis of Fractional-Order Hopfield Neural Networks with Parameter Uncertainties
    Zhang, Shuo
    Yu, Yongguang
    Hu, Wei
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [34] Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties
    Park, M. J.
    Kwon, O. M.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [35] Synchronization in Finite Time of Fractional-Order Complex-Valued Delayed Gene Regulatory Networks
    Wang, Lu
    Yang, Xujun
    Liu, Hongjun
    Chen, Xiaofeng
    FRACTAL AND FRACTIONAL, 2023, 7 (05)
  • [36] Synchronization of fractional-order spatiotemporal complex-valued neural networks in finite-time interval and its application
    Song, Xiaona
    Sun, Xiangliang
    Man, Jingtao
    Song, Shuai
    Wu, Qingtao
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (16): : 8207 - 8225
  • [37] Comment on "Periodically intermittent control strategies for α-exponential stabilization of fractional-order complex-valued delayed neural networks"
    Hu, Jian-Bing
    NONLINEAR DYNAMICS, 2019, 98 (03) : 2423 - 2426
  • [38] Fixed-time synchronization of fractional-order complex-valued delayed neural networks with discontinuous activation functions
    Ding Z.
    Wang J.
    Li S.
    Yang L.
    Wang L.
    Neural Computing and Applications, 2024, 36 (26) : 15947 - 15959
  • [39] Global asymptotic stability of delayed fractional-order complex-valued fuzzy cellular neural networks with impulsive disturbances
    R. Vijay Aravind
    P. Balasubramaniam
    Journal of Applied Mathematics and Computing, 2022, 68 : 4713 - 4731
  • [40] Global stability analysis of delayed complex-valued fractional-order coupled neural networks with nodes of different dimensions
    Tan, Manchun
    Pan, Qi
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2019, 10 (05) : 897 - 912