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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)5559-5565
Number of pages7
JournalWuli Xuebao/Acta Physica Sinica
Volume54
Issue number12
Publication statusPublished - Dec 2005
Externally publishedYes

Keywords

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

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