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A parametric frequency response method for non-linear time-varying systems

Author

Listed:
  • Yuzhu Guo
  • L.Z. Guo
  • S.A. Billings
  • Daniel Coca
  • Z.Q. Lang

Abstract

A new parametric frequency response algorithm is introduced to investigate linear and non-linear dynamic systems with time-varying parameters. In the new algorithm the time-varying parameters are regarded as additional inputs of the systems and the non-linear generalised frequency response functions for multi-input-single-output systems are then employed to obtain Zadeh's system functions from a differential equation representation. The parametric frequency response method reveals how the time-varying parameters affect the behaviour of the systems through a time-varying term. The new method can be applied to both linear and non-linear time-varying systems.

Suggested Citation

  • Yuzhu Guo & L.Z. Guo & S.A. Billings & Daniel Coca & Z.Q. Lang, 2014. "A parametric frequency response method for non-linear time-varying systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(10), pages 2133-2144, October.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2133-2144
    DOI: 10.1080/00207721.2012.762563
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