Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

Xing Jian Jing; Zi Qiang Lang

doi:10.23919/ecc.2007.7068679

Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

Xing Jian Jing
, Zi Qiang Lang

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

Magnitude bounds of the frequency response functions for nonlinear Volterra systems described by NARX model are established. The magnitude bound of the nth order generalized frequency response function (GFRF) is expressed as an n-degree polynomial function of the magnitude of the 1^st order GFRF, and the coefficients of this polynomial expression are functions of the model parameters. The new result reveals explicitly the analytical relationship between model parameters and magnitudes of the GFRFs.

Original language	English
Title of host publication	2007 European Control Conference, ECC 2007
Publisher	IEEE
Pages	3068-3073
ISBN (Print)	9783952417386
DOIs	https://doi.org/10.23919/ecc.2007.7068679
Publication status	Published - 2007
Externally published	Yes
Event	2007 9th European Control Conference, ECC 2007 - Kos, Greece Duration: 2 Jul 2007 → 5 Jul 2007

Conference

Conference	2007 9th European Control Conference, ECC 2007
Place	Greece
City	Kos
Period	2/07/07 → 5/07/07

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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@inproceedings{0211f9f0c66143748ca0845459f3d6ff,

title = "Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems",

abstract = "Magnitude bounds of the frequency response functions for nonlinear Volterra systems described by NARX model are established. The magnitude bound of the nth order generalized frequency response function (GFRF) is expressed as an n-degree polynomial function of the magnitude of the 1st order GFRF, and the coefficients of this polynomial expression are functions of the model parameters. The new result reveals explicitly the analytical relationship between model parameters and magnitudes of the GFRFs.",

author = "Jing, \{Xing Jian\} and Lang, \{Zi Qiang\}",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].; 2007 9th European Control Conference, ECC 2007 ; Conference date: 02-07-2007 Through 05-07-2007",

year = "2007",

doi = "10.23919/ecc.2007.7068679",

language = "English",

isbn = "9783952417386",

pages = "3068--3073",

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T1 - Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

AU - Jing, Xing Jian

AU - Lang, Zi Qiang

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2007

Y1 - 2007

N2 - Magnitude bounds of the frequency response functions for nonlinear Volterra systems described by NARX model are established. The magnitude bound of the nth order generalized frequency response function (GFRF) is expressed as an n-degree polynomial function of the magnitude of the 1st order GFRF, and the coefficients of this polynomial expression are functions of the model parameters. The new result reveals explicitly the analytical relationship between model parameters and magnitudes of the GFRFs.

AB - Magnitude bounds of the frequency response functions for nonlinear Volterra systems described by NARX model are established. The magnitude bound of the nth order generalized frequency response function (GFRF) is expressed as an n-degree polynomial function of the magnitude of the 1st order GFRF, and the coefficients of this polynomial expression are functions of the model parameters. The new result reveals explicitly the analytical relationship between model parameters and magnitudes of the GFRFs.

UR - https://www.scopus.com/pages/publications/84927720845

UR - https://www.scopus.com/pages/publications/84927720845#tab=impact

U2 - 10.23919/ecc.2007.7068679

DO - 10.23919/ecc.2007.7068679

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9783952417386

SP - 3068

EP - 3073

BT - 2007 European Control Conference, ECC 2007

PB - IEEE

T2 - 2007 9th European Control Conference, ECC 2007

Y2 - 2 July 2007 through 5 July 2007

ER -

Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

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