Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

Xingjian Jing; Zi Qiang Lang

Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

Xingjian Jing, Zi Qiang Lang

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › 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 1storder 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
Number of pages	6
ISBN (Electronic)	9783952417386
Publication status	Published - 1 Jan 2007
Externally published	Yes
Event	2007 9th European Control Conference, ECC 2007 - Kos International Convention Center (KICC), Kos, Greece Duration: 2 Jul 2007 → 5 Jul 2007

Conference

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

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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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 1storder 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 = "Xingjian Jing and Lang, {Zi Qiang}",

year = "2007",

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language = "English",

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AU - Jing, Xingjian

AU - Lang, Zi Qiang

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Y1 - 2007/1/1

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 1storder 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 1storder 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.

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M3 - Conference article published in proceeding or book

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

Abstract

Conference

ASJC Scopus subject areas

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