Analysis of the Solution of Time-Varying Linear Equations Based on the Method of Neural Dynamics

被引:0
|
作者
Liao, Wudai [1 ]
Zhou, Jun [1 ]
Liu, Zongsheng [1 ]
Feng, Haojie [1 ]
Jiao, Chaofan [1 ]
Zhang, Chaochuan [1 ]
机构
[1] Zhongyuan Univ Technol, Sch Elect & Informat, Zhengzhou, Peoples R China
基金
中国国家自然科学基金;
关键词
activation function; time-varying problem; LaSalle theorem; Lyapunov theorem; Zhang neural dynamics; NETWORK; CONVERGENCE; DESIGN; ZNN;
D O I
10.1109/icaci49185.2020.9177630
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In the paper, in order to solve the time-varying linear equations, the authors have constructed the neurodynamics model, including the activation function, network parameters and the error function. The stability of the system constructed in the paper by using LaSalle theorem and Lyapunov theorem is analyzed. The model approaches are gradient neural dynamics and Zhang neural dynamics. In addition, the effectiveness of the results obtained in the paper is verified by the numerical simulation.
引用
收藏
页码:571 / 576
页数:6
相关论文
共 50 条
  • [31] A gain-adjustment neural network based time-varying underdetermined linear equation solving method
    Zhang, Zhijun
    Zheng, Lunan
    Qiu, Tairu
    NEUROCOMPUTING, 2021, 458 : 184 - 194
  • [32] SOLUTION, STABILITY AND TRANSFORMATION OF LINEAR TIME-VARYING SYSTEMS
    WU, MY
    HOROWITZ, IM
    DENNISON, JC
    INTERNATIONAL JOURNAL OF CONTROL, 1975, 22 (02) : 169 - 180
  • [34] A New Interpretation of Adjoint Method in Linear Time-Varying System Analysis
    He, Tailong
    Chen, Wanchun
    2017 IEEE INTERNATIONAL CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS (CIS) AND IEEE CONFERENCE ON ROBOTICS, AUTOMATION AND MECHATRONICS (RAM), 2017, : 58 - 63
  • [35] Control of linear time-varying systems based on finite difference method
    Yue, LM
    Pasic, H
    THIRTIETH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY (SSST), 1998, : 62 - 66
  • [36] Identification of linear time-varying dynamic systems based on the WKB method
    Tengfei Chen
    Vladislav Sorokin
    Lihua Tang
    Guoping Chen
    Huan He
    Archive of Applied Mechanics, 2023, 93 : 2449 - 2463
  • [37] Stability analysis for interval time-varying delay systems based on time-varying bound integral method
    Qian, Wei
    Li, Tao
    Cong, Shen
    Fei, Shumin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (10): : 4892 - 4903
  • [38] Identification of linear time-varying dynamic systems based on the WKB method
    Chen, Tengfei
    Sorokin, Vladislav
    Tang, Lihua
    Chen, Guoping
    He, Huan
    ARCHIVE OF APPLIED MECHANICS, 2023, 93 (06) : 2449 - 2463
  • [39] Two New Zhang Neural Networks for Solving Time-Varying Linear Equations and Inequalities Systems
    Wu, Wenqi
    Zheng, Bing
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 34 (08) : 4957 - 4965
  • [40] Iterative solution to a class of complex matrix equations and its application in time-varying linear system
    Wang, Wenli
    Song, Caiqin
    Ji, Shipu
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 67 (1-2) : 317 - 341