Frequency domain analysis for non-linear Volterra systems with a general non-linear output function

X. J. JING; Z. Q. LANG; S. A. BILLINGS

doi:10.1080/00207170701516389

Author(s)

X. J. JING
Z. Q. LANG
S. A. BILLINGS

Detail(s)

Original language	English
Pages (from-to)	235-251
Journal / Publication	International Journal of Control
Volume	81
Issue number	2
Publication status	Published - Feb 2008
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1080/00207170701516389 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-35948932621&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(a7cc2c79-dd4c-4378-9fc9-b14c3bf8eb24).html

Abstract

For non-linear Volterra systems which include a non-linear state equation and a general non-linear output function, the system frequency response functions and some related frequency response characteristics are developed and discussed in this study. These new results establish the frequency response functions for this general form of non-linear systems by extending some existing theory, and provide an analytical insight into the relationship between model parameters and frequency response functions, and the relationship between model parameters and the magnitude bound of frequency response functions. Several examples are given to illustrate the new results.

Research Area(s)

NON-LINEAR SYSTEMS, RESPONSE FUNCTIONS, MAGNITUDE CHARACTERISTICS, EXPANSIONS, IDENTIFICATION, COMPUTATION, MODEL

Citation Format(s)

[ RIS ] [ BibTeX ]

Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. / JING, X. J.; LANG, Z. Q.; BILLINGS, S. A.
In: International Journal of Control, Vol. 81, No. 2, 02.2008, p. 235-251.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

JING, XJ, LANG, ZQ & BILLINGS, SA 2008, 'Frequency domain analysis for non-linear Volterra systems with a general non-linear output function', International Journal of Control, vol. 81, no. 2, pp. 235-251. https://doi.org/10.1080/00207170701516389

JING, X. J., LANG, Z. Q., & BILLINGS, S. A. (2008). Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. International Journal of Control, 81(2), 235-251. https://doi.org/10.1080/00207170701516389

JING XJ, LANG ZQ, BILLINGS SA. Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. International Journal of Control. 2008 Feb;81(2):235-251. doi: 10.1080/00207170701516389

JING, X. J. ; LANG, Z. Q. ; BILLINGS, S. A. / Frequency domain analysis for non-linear Volterra systems with a general non-linear output function. In: International Journal of Control. 2008 ; Vol. 81, No. 2. pp. 235-251.