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The Parametric Characteristics of Nonlinear Output Spectrum and Applications

  • Xingjian Jing
  • Ziqiang Lang
Chapter
Part of the Understanding Complex Systems book series (UCS)

Abstract

The parametric characteristic analysis is performed for nonlinear output spectrum of Volterra-type nonlinear systems described by NDE models or NARX models in this Chapter and some fundamental results for the parametric characteristics of nonlinear output spectrum are established and demonstrated, including parametric characteristics based analysis, parametric characteristic analysis of nonlinear effects on system output frequency, and parametric characteristics of SIDO nonlinear systems etc.

References

  1. Jing XJ, Lang ZQ, Billings SA (2009a) Parametric characteristic analysis for generalized frequency response functions of nonlinear systems. Circuits Syst Signal Process 28:699–733CrossRefzbMATHMathSciNetGoogle Scholar
  2. Lang ZQ, Billings SA (2005) Energy transfer properties of nonlinear systems in the frequency domain. Int J Control 78:345–362CrossRefzbMATHMathSciNetGoogle Scholar
  3. Lang ZQ, Billings SA, Yue R, Li J (2007) Output frequency response functions of nonlinear Volterra systems. Automatica 43:805–816CrossRefzbMATHMathSciNetGoogle Scholar
  4. Rugh WJ (1981) Nonlinear system theory: the Volterra/Wiener approach. Johns Hopkins University Press, Baltimore, MDzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Xingjian Jing
    • 1
  • Ziqiang Lang
    • 2
  1. 1.The Hong Kong Polytechnic UniversityHong KongPR China
  2. 2.The University of SheffieldSheffieldUK

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