The Parametric Characteristics Based Output Spectrum Analysis

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


The parametric characteristic analysis provides a powerful tool for nonlinear analysis in the frequency domain, which can be used for many important issues related to analysis, design and understanding of nonlinear dynamics and influence, from the viewpoints of output frequency response of nonlinear systems and/or the GFRFs. In this chapter, the output frequency response or output spectrum based analysis method is demonstrated further, which presents a systematic frequency-domain method for nonlinear analysis and design. The parametric characteristic analysis can provide obvious benefits for example in determination of the parametric structure and in reduction of computation cost, which will be theoretically addressed in the chapter thereafter.


  1. Jing XJ, Lang ZQ, Billings SA (2007a) New bound characteristics of NARX model in the frequency domain. Int J Control 80(1):140–149CrossRefzbMATHMathSciNetGoogle Scholar
  2. Jing XJ, Lang ZQ, Billings SA (2007b) Some typoes in ‘New Bound Characteristics of NARX Model in the Frequency Domain’. Int J Control 80(3):492–494CrossRefzbMATHMathSciNetGoogle Scholar
  3. Jing XJ, Lang ZQ, Billings SA (2008d) Output frequency response function based analysis for nonlinear Volterra systems. Mech Syst Signal Process 22:102–120CrossRefGoogle 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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