Volterra functional analysis of nonlinear time-varying systems

Ku, Y.H.; Su, Chin Chun

doi:10.1016/0016-0032(67)90212-8

Cited by 11 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Assume the time-varying system admits a Volterra series. Volterra series representation has been widely studied and many results on the properties, including convergence analysis are available (Ku and Chin Chun 1967;Brockett 1976;Gilbert 1977;Lesiak and Krener 1978;Sandberg 1982;Sandberg 1983). GFRFs are defined as the Fourier transform of the Volterra kernels and GFRFs of MISO time-invariant systems have been studied by Worden et al (1997) and Swain and Billings (2001).…”

Section: The Parametric Frequency Response Methodsmentioning

confidence: 99%

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

Guo

Billings

et al. 2013

International Journal of Systems Science

View full text Add to dashboard Cite

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.

show abstract