Approximation to Nonlinear Discrete-Time Systems by Recurrent Neural Networks

被引:0
|
作者
Li, Fengjun [1 ]
机构
[1] Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China
关键词
Approximation; nonlinear discrete-time system; recurrent neural networks; UNIVERSAL APPROXIMATORS; DYNAMICAL-SYSTEMS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Neural networks are widely used to approximate nonlinear functions. In order to study its approximation capability, a approximating approach for nonlinear discrete-time systems is presented by using the concept of the time-variant recurrent neural networks (RNNs) and the theory of two-dimensional systems. Both theory and simulations results show that the derived mathematical model of RNNs can approximate the nonlinear dynamical systems to any degree of accuracy.
引用
收藏
页码:527 / 534
页数:8
相关论文
共 50 条
  • [31] Bounds of the incremental gain for discrete-time recurrent neural networks
    Chu, YC
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05): : 1087 - 1098
  • [32] Global stability analysis of discrete-time recurrent neural networks
    Barabanov, NE
    Prokhorov, DV
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 4550 - 4555
  • [33] Extraction of rules from discrete-time recurrent neural networks
    Omlin, CW
    Giles, CL
    NEURAL NETWORKS, 1996, 9 (01) : 41 - 52
  • [34] ABSOLUTE STABILITY CONDITIONS FOR DISCRETE-TIME RECURRENT NEURAL NETWORKS
    JIN, L
    NIKIFORUK, PN
    GUPTA, MM
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06): : 954 - 964
  • [35] Adaptive control of discrete-time nonlinear systems by recurrent neural networks in quasi-sliding mode like regime
    Salgado, Ivan
    Yanez, Cornelio
    Camacho, Oscar
    Chairez, Isaac
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2017, 31 (01) : 83 - 96
  • [36] The Stability by Linear Approximation of Discrete-Time Nonlinear Singular Systems
    Shcheglova, A. A.
    SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (02) : 392 - 410
  • [37] Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms
    Yu, W
    INFORMATION SCIENCES, 2004, 158 : 131 - 147
  • [38] Identification of Discrete-Time Varying Nonlinear Systems Using Time-Varying Neural Networks
    Yan, W-L
    Sun, M-X
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 301 - 306
  • [39] Discrete-time adaptive control of feedback linearizable nonlinear systems using neural networks
    Jagannathan, S
    ICNN - 1996 IEEE INTERNATIONAL CONFERENCE ON NEURAL NETWORKS, VOLS. 1-4, 1996, : 1704 - 1709
  • [40] Terminal iterative learning control for discrete-time nonlinear systems based on neural networks
    Han, Jian
    Shen, Dong
    Chien, Chiang-Ju
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (08): : 3641 - 3658