Stochastic stability and control of coupled Duffing-van der Pol systems

Wei Li; Wei Xu; Jun Feng Zhao; Yan Fei Jin

doi:10.7498/aps.54.5559

Stochastic stability and control of coupled Duffing-van der Pol systems

Wei Li
, Wei Xu
, Jun Feng Zhao
, Yan Fei Jin

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

By using the stochastic averaging method of quasi-Hamilton system and stochastic stabilization strategy, the stochastic stability and stabilization control of a coupled Duffing-van der Pol system under Gaussian white noise excitation within semi-infinite time interval are investigated. The results show that, with suitable controlled parameters, effective stochastic stabilization can be realized.

Original language	English
Pages (from-to)	5559-5565
Number of pages	7
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	54
Issue number	12
DOIs	https://doi.org/10.7498/aps.54.5559
State	Published - Dec 2005

Keywords

Lyapunov exponent
Quasi-Hamilton system
Stochastic averaging method
Stochastic optimal control

Access to Document

10.7498/aps.54.5559

Cite this

@article{e410169bd0c24bfdb96a32ea6a9f7f1a,

title = "Stochastic stability and control of coupled Duffing-van der Pol systems",

abstract = "By using the stochastic averaging method of quasi-Hamilton system and stochastic stabilization strategy, the stochastic stability and stabilization control of a coupled Duffing-van der Pol system under Gaussian white noise excitation within semi-infinite time interval are investigated. The results show that, with suitable controlled parameters, effective stochastic stabilization can be realized.",

keywords = "Lyapunov exponent, Quasi-Hamilton system, Stochastic averaging method, Stochastic optimal control",

author = "Wei Li and Wei Xu and Zhao, \{Jun Feng\} and Jin, \{Yan Fei\}",

year = "2005",

month = dec,

doi = "10.7498/aps.54.5559",

language = "英语",

volume = "54",

pages = "5559--5565",

journal = "Wuli Xuebao/Acta Physica Sinica",

issn = "1000-3290",

publisher = "Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences",

number = "12",

}

TY - JOUR

T1 - Stochastic stability and control of coupled Duffing-van der Pol systems

AU - Li, Wei

AU - Xu, Wei

AU - Zhao, Jun Feng

AU - Jin, Yan Fei

PY - 2005/12

Y1 - 2005/12

N2 - By using the stochastic averaging method of quasi-Hamilton system and stochastic stabilization strategy, the stochastic stability and stabilization control of a coupled Duffing-van der Pol system under Gaussian white noise excitation within semi-infinite time interval are investigated. The results show that, with suitable controlled parameters, effective stochastic stabilization can be realized.

AB - By using the stochastic averaging method of quasi-Hamilton system and stochastic stabilization strategy, the stochastic stability and stabilization control of a coupled Duffing-van der Pol system under Gaussian white noise excitation within semi-infinite time interval are investigated. The results show that, with suitable controlled parameters, effective stochastic stabilization can be realized.

KW - Lyapunov exponent

KW - Quasi-Hamilton system

KW - Stochastic averaging method

KW - Stochastic optimal control

UR - https://www.scopus.com/pages/publications/30044437891

U2 - 10.7498/aps.54.5559

DO - 10.7498/aps.54.5559

M3 - 文章

AN - SCOPUS:30044437891

SN - 1000-3290

VL - 54

SP - 5559

EP - 5565

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 12

ER -

Stochastic stability and control of coupled Duffing-van der Pol systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this