Improved finite-time zeroing neural network for time-varying division

被引:12
|
作者
Gerontitis, Dimitris [1 ]
Behera, Ratikanta [2 ]
Sahoo, Jajati Keshari [3 ]
Stanimirovic, Predrag S. [4 ]
机构
[1] Aristotle Univ Thessaloniki, Sch Informat, Thessaloniki, Greece
[2] Univ Cent Florida, Dept Math, Orlando, FL 32826 USA
[3] BITS Pilani KK Birla Goa Campus, Dept Math, Sancoale, Goa, India
[4] Univ Nis, Fac Sci & Math, Nish, Serbia
关键词
complex varying parameter VPFTZNN; division‐ by zero; Euclidean division; finite time ZNN; time‐ varying division; zeroing neural network; DESIGN FORMULA; DYNAMICS; EQUATION; CONVERGENCE; ZFS;
D O I
10.1111/sapm.12354
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A novel complex varying-parameter finite-time zeroing neural network (VPFTZNN) for finding a solution to the time-dependent division problem is introduced. A comparative study in relation to the zeroing neural network (ZNN) and finite-time zeroing neural network (FTZNN) is established in terms of the error function and the convergence speed. The error graphs of the VPFTZNN design show promising results and perform better than corresponding ZNN and FTZNN graphs. The proposed dynamical systems are suitable tools for overcoming the division by zero difficulty, which appears in the time-varying division. An application of the introduced VPFTZNN model in an output tracking control time-varying linear system is demonstrated.
引用
收藏
页码:526 / 549
页数:24
相关论文
共 50 条
  • [1] Improved finite-time zeroing neural networks for time-varying complex Sylvester equation solving
    Xiao, Lin
    Yi, Qian
    Zuo, Qiuyue
    He, Yongjun
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 178 : 246 - 258
  • [2] Finite-time convergent zeroing neural network for solving time-varying algebraic Riccati equations
    Simos, Theodore E.
    Katsikis, Vasilios N.
    Mourtas, Spyridon D.
    Stanimirovic, Predrag S.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (18): : 10867 - 10883
  • [3] Improved finite-time solutions to time-varying Sylvester tensor equation via zeroing neural networks
    Xiao, Lin
    Li, Xiaopeng
    Jia, Lei
    Liu, Sai
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 416
  • [4] Design and Analysis of New Zeroing Neural Network Models With Improved Finite-Time Convergence for Time-Varying Reciprocal of Complex Matrix
    Jian, Zhen
    Xiao, Lin
    Dai, Jianhua
    Tang, Zhuo
    Liu, Chubo
    IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2020, 16 (06) : 3838 - 3848
  • [5] Solving time-varying linear inequalities by finite-time convergent zeroing neural networks
    Zeng, Yuejie
    Xiao, Lin
    Li, Kenli
    Zuo, Qiuyue
    Li, Keqin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (12): : 8137 - 8155
  • [6] A Noise-Enduring and Finite-Time Zeroing Neural Network for Equality-Constrained Time-Varying Nonlinear Optimization
    Xiao, Lin
    Dai, Jianhua
    Jin, Long
    Li, Weibing
    Li, Shuai
    Hou, Jian
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (08): : 4729 - 4740
  • [7] Finite-Time Solution of Time-Varying Tensor Inversion by a Novel Dynamic-Parameter Zeroing Neural-Network
    Xiao, Lin
    Li, Xiaopeng
    Huang, Wenqian
    Jia, Lei
    IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2022, 18 (07) : 4447 - 4455
  • [8] Computing Time-Varying Quadratic Optimization With Finite-Time Convergence and Noise Tolerance: A Unified Framework for Zeroing Neural Network
    Xiao, Lin
    Li, Kenli
    Du, Mingxing
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2019, 30 (11) : 3360 - 3369
  • [9] Improved Zhang neural network with finite-time convergence for time-varying linear system of equations solving
    Lv, Xuanjiao
    Xiao, Lin
    Tan, Zhiguo
    INFORMATION PROCESSING LETTERS, 2019, 147 : 88 - 93
  • [10] Finite-Time Boundedness Analysis of Memristive Neural Network with Time-Varying Delay
    Zhao, Hui
    Li, Lixiang
    Peng, Haipeng
    Xiao, Jinghua
    Yang, Yixian
    NEURAL PROCESSING LETTERS, 2016, 44 (03) : 665 - 679