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

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	5559-5565
页数	7
期刊	Wuli Xuebao/Acta Physica Sinica
卷	54
期	12
DOI	https://doi.org/10.7498/aps.54.5559
出版状态	已出版 - 12月 2005

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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",

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doi = "10.7498/aps.54.5559",

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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

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