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  • 标题:Explicit Parameter-dependent Representations of Periodic Solutions for a Class of Nonlinear Systems
  • 本地全文:下载
  • 作者:J. Al-Ameri Mohammed ; I. Tyukin
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2017
  • 卷号:50
  • 期号:1
  • 页码:4001-4007
  • DOI:10.1016/j.ifacol.2017.08.714
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractWe propose a method for deriving computationally efficient representations of periodic solutions of parameterized systems of nonlinear ordinary differential equations. These representations depend on parameters of the system explicitly, as quadratures of parameterized computable functions. The method applies to systems featuring both linear and nonlinear parametrization, and time-varying right-hand-side; it opens possibilities to invoke scalable parallel computations for numerical evaluation of solutions for various parameter values. Application of the method to parameter estimation problems is illustrated with constructing an algorithm for state and parameter estimation for the Morris-Lecar system.
  • 关键词:KeywordsParameter estimationNonlinear ParametrizationAdaptive observersTime-varying systems
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