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Summary and Overview

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

Abstract

Some new advances in the Volterra series based frequency domain theory or method developed in the past 10 years are summarized from a novel parametric characteristic approach. These results, including both theoretical investigation and practical application algorithms, would be able to present a solid and important basis for further development of frequency domain theories and methods for nonlinear analysis and design to solve critical engineering issues in the literature and engineering practices.

References

  1. Boaghe OM, Billings SA (2003) Subharmonic oscillation modeling and MISO Volterra series. IEEE Trans Circuits Syst I Fund Theor Appl 50(7):877–884CrossRefMathSciNetGoogle Scholar
  2. Pavlov A, Van De Wouw N, Nijmeijer H (2007) Frequency response functions for nonlinear convergent systems. IEEE Trans Autom Control 52(6):1159–1165CrossRefGoogle Scholar
  3. Rijlaarsdam D, Nuij P, Schoukens J, Steinbuch M (2011) Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions. Automatica 47(12):2684–2688CrossRefMATHMathSciNetGoogle 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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