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
  • [41] 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
  • [42] Output tracking of a class of unknown nonlinear discrete-time systems using neural networks
    Horng, JH
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1998, 335B (03): : 503 - 515
  • [43] Robust backstepping control of nonlinear systems in discrete-time using multilayer neural networks
    Jagannathan, S
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 480 - 485
  • [44] Discrete-time analogs for a class of continuous-time recurrent neural networks
    Liu, Pingzhou
    Han, Qing-Long
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (05): : 1343 - 1355
  • [45] Synchronization for Discrete-Time Memristive Recurrent Neural Networks with Time-Delays
    Liu, Hongjian
    Wang, Zidong
    Shen, Bo
    Kan, Xiu
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 3478 - 3483
  • [46] Stability Analysis of Discrete-Time Recurrent Neural Networks With Stochastic Delay
    Zhao, Yu
    Gao, Huijun
    Lam, James
    Chen, Ke
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (08): : 1330 - 1339
  • [47] Global exponential stability of discrete-time recurrent neural networks with impulses
    Zhao, Xinquan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E2873 - E2878
  • [48] Invariant Set and Attractor of Discrete-Time Impulsive Recurrent Neural Networks
    Li, Bing
    Song, Qiankun
    ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 : 411 - 419
  • [49] Global Stability of Discrete-time Recurrent Neural Networks with Impulse Effects
    Zhou, Li
    Li, Chuan-dong
    Wan, Jian
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (01) : 93 - 97
  • [50] Stability Criterion of Discrete-Time Recurrent Neural Networks with Periodic Delays
    Yin, Xing
    Wu, Weigen
    Tan, Qianrong
    NEURAL INFORMATION PROCESSING, PT III, 2011, 7064 : 299 - +