Compactness of a set of multilayer neural networks and existence of neural network optimal control

被引：0
|
作者：
Yamazaki, H
Shidama, Y
Eguchi, M
Kobayashi, H
机构：
[1] SHINSHU UNIV,FAC ENGN,NAGANO 380,JAPAN
[2] TOKYO UNIV MERCANTILE MARINE,FAC MERCANTILE MARINE SCI,TOKYO 135,JAPAN
[3] TOKAI UNIV,FAC ENGN,HIRATSUKA,KANAGAWA 25912,JAPAN
来源：
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE | 1997年 / 80卷 / 03期
关键词：
optimal control; nonlinear feedback; neural network; compactness;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper considers the compactness of a set of muitilayer neural networks that have bounded weights and threshold values. It is shown that the solution of nonlinear optimal feedback control on a set of neural networks depends on virtue of the compactness of the set. The nonlinear optimal feedback control problem is considered as a minimization problem for weights of a neural network. Furthermore, using the result, the solution of a simple system is calculated.
引用
收藏
页码：13 / 20
页数：8
相关论文
共 50 条
  • [21] Statistical Optimal Control Using Neural Networks
    Kang, Bei
    Won, Chang-Hee
    ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT II, 2011, 6676 : 601 - 610
  • [22] Optimal structural control using neural networks
    Kim, JT
    Jung, HJ
    Lee, IW
    JOURNAL OF ENGINEERING MECHANICS, 2000, 126 (02) : 201 - 205
  • [23] Optimal control problem via neural networks
    Sohrab Effati
    Morteza Pakdaman
    Neural Computing and Applications, 2013, 23 : 2093 - 2100
  • [24] Optimal control problem via neural networks
    Effati, Sohrab
    Pakdaman, Morteza
    NEURAL COMPUTING & APPLICATIONS, 2013, 23 (7-8): : 2093 - 2100
  • [25] A NEURAL NETWORK APPROACH FOR STOCHASTIC OPTIMAL CONTROL
    Li, Xingjian
    Verma, Deepanshu
    Ruthotto, Lars
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2024, 46 (05): : C535 - C556
  • [26] Optimal control with continuous Hopfield Neural Network
    Li, MA
    Ruan, XG
    2003 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS, INTELLIGENT SYSTEMS AND SIGNAL PROCESSING, VOLS 1 AND 2, PROCEEDINGS, 2003, : 758 - 762
  • [27] Learning of neural network with optimal control tools
    Lipnicka, Marta
    Nowakowski, Andrzej
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2023, 121
  • [28] NEURAL NETWORK APPROACHES FOR PARAMETERIZED OPTIMAL CONTROL
    Verma, Deepanshu
    Winovich, Nick
    Ruthotto, Lars
    Waanders, Bart van bloemen
    FOUNDATIONS OF DATA SCIENCE, 2024,
  • [29] Design and regularization of neural networks: The optimal use of a validation set
    Larsen, J
    Hansen, LK
    Svarer, C
    Ohlsson, M
    NEURAL NETWORKS FOR SIGNAL PROCESSING VI, 1996, : 62 - 71
  • [30] Multilayer recurrent neural networks
    Kwan, HK
    2002 45TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III, CONFERENCE PROCEEDINGS, 2002, : 97 - 100
12345