Stability analysis of Universal Learning Network

Yunqing Yu, Kotaro Hirasawa, Masanao Ohbayashi, Junichi Murata

Research output: Contribution to journalArticle

Abstract

The Universal Learning Network (U.L.N.) is a tool for modeling, managing and controlling large scale complicated systems. In the complicated systems, stability is one of the most important subjects. In this paper, stability analysis is discussed based on the concept of nth order asymptotic orbital stability analysis method of the system constructed by U.L.N.. The nth order asymptotic orbital stability for the system mentioned above is defined by using the higher order derivatives of U.L.N. which has been already reported. So the stability analysis by the nth order asymptotic orbital stability is proposed in this paper. By using this stability analysis method, we can easily calculate the exact deviation of the dynamics systems which are disturbed. Finally, an example of the stability analysis are shown by simulation results of a nonlinear crane control system.

Original languageEnglish
Pages (from-to)3993-3998
Number of pages6
JournalUnknown Journal
Volume4
Publication statusPublished - 1997

Fingerprint

stability analysis
learning
crane
control system
Cranes
System stability
Large scale systems
Dynamical systems
Derivatives
Control systems
modeling
simulation
method

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Control and Systems Engineering

Cite this

Yu, Y., Hirasawa, K., Ohbayashi, M., & Murata, J. (1997). Stability analysis of Universal Learning Network. Unknown Journal, 4, 3993-3998.

Stability analysis of Universal Learning Network. / Yu, Yunqing; Hirasawa, Kotaro; Ohbayashi, Masanao; Murata, Junichi.

In: Unknown Journal, Vol. 4, 1997, p. 3993-3998.

Research output: Contribution to journalArticle

Yu, Y, Hirasawa, K, Ohbayashi, M & Murata, J 1997, 'Stability analysis of Universal Learning Network', Unknown Journal, vol. 4, pp. 3993-3998.
Yu Y, Hirasawa K, Ohbayashi M, Murata J. Stability analysis of Universal Learning Network. Unknown Journal. 1997;4:3993-3998.
Yu, Yunqing ; Hirasawa, Kotaro ; Ohbayashi, Masanao ; Murata, Junichi. / Stability analysis of Universal Learning Network. In: Unknown Journal. 1997 ; Vol. 4. pp. 3993-3998.
@article{05e97e2a21bd41fe9b7f7feff68cf638,
title = "Stability analysis of Universal Learning Network",
abstract = "The Universal Learning Network (U.L.N.) is a tool for modeling, managing and controlling large scale complicated systems. In the complicated systems, stability is one of the most important subjects. In this paper, stability analysis is discussed based on the concept of nth order asymptotic orbital stability analysis method of the system constructed by U.L.N.. The nth order asymptotic orbital stability for the system mentioned above is defined by using the higher order derivatives of U.L.N. which has been already reported. So the stability analysis by the nth order asymptotic orbital stability is proposed in this paper. By using this stability analysis method, we can easily calculate the exact deviation of the dynamics systems which are disturbed. Finally, an example of the stability analysis are shown by simulation results of a nonlinear crane control system.",
author = "Yunqing Yu and Kotaro Hirasawa and Masanao Ohbayashi and Junichi Murata",
year = "1997",
language = "English",
volume = "4",
pages = "3993--3998",
journal = "Quaternary International",
issn = "1040-6182",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Stability analysis of Universal Learning Network

AU - Yu, Yunqing

AU - Hirasawa, Kotaro

AU - Ohbayashi, Masanao

AU - Murata, Junichi

PY - 1997

Y1 - 1997

N2 - The Universal Learning Network (U.L.N.) is a tool for modeling, managing and controlling large scale complicated systems. In the complicated systems, stability is one of the most important subjects. In this paper, stability analysis is discussed based on the concept of nth order asymptotic orbital stability analysis method of the system constructed by U.L.N.. The nth order asymptotic orbital stability for the system mentioned above is defined by using the higher order derivatives of U.L.N. which has been already reported. So the stability analysis by the nth order asymptotic orbital stability is proposed in this paper. By using this stability analysis method, we can easily calculate the exact deviation of the dynamics systems which are disturbed. Finally, an example of the stability analysis are shown by simulation results of a nonlinear crane control system.

AB - The Universal Learning Network (U.L.N.) is a tool for modeling, managing and controlling large scale complicated systems. In the complicated systems, stability is one of the most important subjects. In this paper, stability analysis is discussed based on the concept of nth order asymptotic orbital stability analysis method of the system constructed by U.L.N.. The nth order asymptotic orbital stability for the system mentioned above is defined by using the higher order derivatives of U.L.N. which has been already reported. So the stability analysis by the nth order asymptotic orbital stability is proposed in this paper. By using this stability analysis method, we can easily calculate the exact deviation of the dynamics systems which are disturbed. Finally, an example of the stability analysis are shown by simulation results of a nonlinear crane control system.

UR - http://www.scopus.com/inward/record.url?scp=0031356364&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031356364&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031356364

VL - 4

SP - 3993

EP - 3998

JO - Quaternary International

JF - Quaternary International

SN - 1040-6182

ER -