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  • 标题:Stabilizing the Lorenz Flows Using a Closed Loop Quotient Controller
  • 本地全文:下载
  • 作者:James Braselton ; Yan Wu
  • 期刊名称:Open Journal of Applied Sciences
  • 印刷版ISSN:2165-3917
  • 电子版ISSN:2165-3925
  • 出版年度:2016
  • 卷号:06
  • 期号:08
  • 页码:560-578
  • DOI:10.4236/ojapps.2016.68056
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this study, we introduce a closed loop quotient controller into the three-dimensional Lorenz system. We then compute the equilibrium points and analyze their local stability. We use several examples to illustrate how cross-sections of the basins of attraction for the equilibrium points look for various parameter values. We then provided numerical evidence that with the controller, the controlled Lorenz system cannot exhibit chaos if the equilibrium points are locally stable.
  • 关键词:Lorenz Equations;Controller;Stability;Routh-Hurwitz Theorem;Chaos;Strange Attractor
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