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

来源：

SIXTH INTERNATIONAL SYMPOSIUM ON NEURAL NETWORKS (ISNN 2009) | 2009年 / 56卷

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

页码：527 / 534

页数：8

共 50 条

[31] 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
[32] Extraction of rules from discrete-time recurrent neural networks
Omlin, CW
Giles, CL
NEURAL NETWORKS, 1996, 9 (01) : 41 - 52
[33] Bounds of the incremental gain for discrete-time recurrent neural networks
Chu, YC
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05): : 1087 - 1098
[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 NEURAL NETWORKS
WAN, EA
APPLIED INTELLIGENCE, 1993, 3 (01) : 91 - 105
[40] 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

← 1 2 3 4 5 →