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

Yuzhu Guo, L.Z. Guo, S.A. Billings, Daniel Coca and Z.Q. Lang

International Journal of Systems Science, 2014, vol. 45, issue 10, 2133-2144

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.

Date: 2014
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DOI: 10.1080/00207721.2012.762563

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