Zeroing neural network approaches for computing time-varying minimal rank outer inverse

被引：3
|
作者：
Stanimirovic, Predrag S. [1 ,3 ]
Mourtas, Spyridon D. [2 ,3 ]
Mosic, Dijana [1 ]
Katsikis, Vasilios N. [2 ]
Cao, Xinwei [4 ]
Li, Shuai [5 ]
机构：
[1] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia
[2] Natl & Kapodistrian Univ Athens, Dept Econ, Div Math Informat & Stat Econometr, Sofokleous 1 St, Athens 660041, Greece
[3] Siberian Fed Univ, Lab Hybrid Methods Modelling & Optimizat Complex S, Prosp Svobodny 79, Krasnoyarsk 660041, Russia
[4] Jiangnan Univ, Sch Business, Lihu Blvd, Wuxi 214122, Peoples R China
[5] Univ Oulu, Fac Informat Technol, Oulu, Finland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 465卷
关键词：
Matrix equation; Zeroing neural network; Generalized inverse; Dynamic system; Minimal rank outer inverse; MOORE-PENROSE INVERSE; ALGORITHM; DESIGN; MODEL;
D O I：
10.1016/j.amc.2023.128412
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generalized inverses are extremely effective in many areas of mathematics and engineering. The zeroing neural network (ZNN) technique, which is currently recognized as the state-of-the-art approach for calculating the time-varying Moore-Penrose matrix inverse, is investigated in this study as a solution to the problem of calculating the time-varying minimum rank outer inverse (TV-MROI) with prescribed range and/or TV-MROI with prescribed kernel. As a result, four novel ZNN models are introduced for computing the TV-MROI, and their efficiency is examined. Numerical tests examine and validate the effectiveness of the introduced ZNN models for calculating TV-MROI with prescribed range and/or prescribed kernel.
引用
收藏
页数：16
相关论文
共 50 条
  • [41] Design and Analysis of a Self-Adaptive Zeroing Neural Network for Solving Time-Varying Quadratic Programming
    Dai, Jianhua
    Yang, Xing
    Xiao, Lin
    Jia, Lei
    Liu, Xinwang
    Wang, Yaonan
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 34 (10) : 7135 - 7144
  • [42] Complex ZFs for computing time-varying complex outer inverses
    Wang, Xue-Zhong
    Stanimirovic, Predrag S.
    Wei, Yimin
    NEUROCOMPUTING, 2018, 275 : 983 - 1001
  • [43] Zeroing neural network with comprehensive performance and its applications to time-varying Lyapunov equation and perturbed robotic tracking
    Hu, Zeshan
    Li, Kenli
    Li, Keqin
    Li, Jichun
    Xiao, Lin
    NEUROCOMPUTING, 2020, 418 : 79 - 90
  • [44] A time-varying neural network for solving minimum spanning tree problem on time-varying network
    Xu, Zhilei
    Huang, Wei
    Wang, Jinsong
    NEUROCOMPUTING, 2021, 466 : 139 - 147
  • [45] Noise suppression zeroing neural network for online solving the time-varying inverse kinematics problem of four-wheel mobile manipulators with external disturbances
    Sun, Zhongbo
    Zhou, Yanpeng
    Tang, Shijun
    Luo, Jun
    Zhao, Bo
    ARTIFICIAL INTELLIGENCE REVIEW, 2024, 57 (08)
  • [46] Solving Time-Varying Nonsymmetric Algebraic Riccati Equations With Zeroing Neural Dynamics
    Simos, Theodore E. E.
    Katsikis, Vasilios N. N.
    Mourtas, Spyridon D. D.
    Stanimirovic, Predrag S. S.
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (10): : 6575 - 6587
  • [47] Towards Higher-Order Zeroing Neural Network Dynamics for Solving Time-Varying Algebraic Riccati Equations
    Jerbi, Houssem
    Alharbi, Hadeel
    Omri, Mohamed
    Ladhar, Lotfi
    Simos, Theodore E.
    Mourtas, Spyridon D.
    Katsikis, Vasilios N.
    MATHEMATICS, 2022, 10 (23)
  • [48] A Fuzzy Adaptive Zeroing Neural Network Model With Event-Triggered Control for Time-Varying Matrix Inversion
    Dai, Jianhua
    Tan, Ping
    Xiao, Lin
    Jia, Lei
    He, Yongjun
    Luo, Jiajie
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (11) : 3974 - 3983
  • [49] A Dynamic Parameter Noise-Tolerant Zeroing Neural Network for Time-Varying Quaternion Matrix Equation With Applications
    Xiao, Lin
    Zhang, Yuanfang
    Huang, Wenqian
    Jia, Lei
    Gao, Xieping
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (06) : 8205 - 8214
  • [50] Double Features Zeroing Neural Network Model for Solving the Pseudoninverse of a Complex-Valued Time-Varying Matrix
    Lei, Yihui
    Dai, Zhengqi
    Liao, Bolin
    Xia, Guangping
    He, Yongjun
    MATHEMATICS, 2022, 10 (12)
12345