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
  • [1] Compactness of Neural Networks
    Miyajima, Keiichi
    Yamazaki, Hiroshi
    FORMALIZED MATHEMATICS, 2022, 30 (01): : 13 - 21
  • [2] Neural networks for optimal control
    Sorensen, O
    SYSTEM STRUCTURE AND CONTROL 1995, 1996, : 361 - 366
  • [3] Compactness of a fixpoint set and optimal control
    Seidman, Thomas I.
    APPLICABLE ANALYSIS, 2009, 88 (03) : 419 - 423
  • [4] An Optimal Control Method of IPM Motor Based on Multilayer Neural Network
    Zhao, Yongxin
    Chen, Xun
    Xu, Song
    Jiang, Wei
    Hashimoto, Seiji
    2024 IEEE 2ND INTERNATIONAL CONFERENCE ON POWER SCIENCE AND TECHNOLOGY, ICPST 2024, 2024, : 65 - 70
  • [5] Training Multilayer Neural Network Based on Optimal Control Theory for Limited Computational Resources
    Alkawaz, Ali Najem
    Kanesan, Jeevan
    Khairuddin, Anis Salwa Mohd
    Badruddin, Irfan Anjum
    Kamangar, Sarfaraz
    Hussien, Mohamed
    Baig, Maughal Ahmed Ali
    Ahammad, N. Ameer
    MATHEMATICS, 2023, 11 (03)
  • [6] Neural networks applied in chemistry. I. Determination of the optimal topology of multilayer perceptron neural networks
    Curteanu, Silvia
    Cartwright, Hugh
    JOURNAL OF CHEMOMETRICS, 2011, 25 (10) : 527 - 549
  • [7] Optimal process control using neural networks
    Padhi, R
    Balakrishnan, SN
    ASIAN JOURNAL OF CONTROL, 2003, 5 (02) : 217 - 229
  • [8] Intelligent optimal control with dynamic neural networks
    Becerikli, Y
    Konar, AF
    Samad, T
    NEURAL NETWORKS, 2003, 16 (02) : 251 - 259
  • [9] A research on neural network based optimal control for greenhouse climate
    Chen, ZH
    Lou, YJ
    Xu, ZB
    PROCEEDINGS OF THE 3RD WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-5, 2000, : 456 - 459
  • [10] Learning of neural network with optimal control tools
    Lipnicka, Marta
    Nowakowski, Andrzej
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2023, 121
12345