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The parametric characteristic of frequency response functions for nonlinear systems

The parametric characteristic of frequency response functions for nonlinear systems
The parametric characteristic of frequency response functions for nonlinear systems
The characteristic of the frequency response functions of nonlinear systems can be revealed and analyzed by analyzing of the parametric characteristics of these functions. To achieve these objectives, a new operator is defined, and several fundamental and important results about the parametric characteristics of the frequency response functions of nonlinear systems are developed. These theoretical results provide a significant and novel insight into the frequency domain characteristics of nonlinear systems and circumvent a large amount of complicated integral and symbolic calculations which have previously been required to perform nonlinear system frequency domain analysis. Several new results for the analysis and synthesis of nonlinear systems are also developed. Examples are included to illustrate potential applications of the new results.
0020-3270
1552-1564
Jing, Xing Jian
2fd9fcd4-7903-47a0-971d-5d26d27d4ea9
Lang, Zi Qiang
8f696ec9-c20e-4699-a399-1c7fd1d20bb7
Billings, Stephen A.
a67e1eb0-9795-42b0-9d3b-2bc158373cb2
Tomlinson, Geofrey R.
98033976-c7f2-4099-b939-0075ecfff658
Jing, Xing Jian
2fd9fcd4-7903-47a0-971d-5d26d27d4ea9
Lang, Zi Qiang
8f696ec9-c20e-4699-a399-1c7fd1d20bb7
Billings, Stephen A.
a67e1eb0-9795-42b0-9d3b-2bc158373cb2
Tomlinson, Geofrey R.
98033976-c7f2-4099-b939-0075ecfff658

Jing, Xing Jian, Lang, Zi Qiang, Billings, Stephen A. and Tomlinson, Geofrey R. (2006) The parametric characteristic of frequency response functions for nonlinear systems. International Journal of Control, 79 (12), 1552-1564. (doi:10.1080/00207170600861019).

Record type: Article

Abstract

The characteristic of the frequency response functions of nonlinear systems can be revealed and analyzed by analyzing of the parametric characteristics of these functions. To achieve these objectives, a new operator is defined, and several fundamental and important results about the parametric characteristics of the frequency response functions of nonlinear systems are developed. These theoretical results provide a significant and novel insight into the frequency domain characteristics of nonlinear systems and circumvent a large amount of complicated integral and symbolic calculations which have previously been required to perform nonlinear system frequency domain analysis. Several new results for the analysis and synthesis of nonlinear systems are also developed. Examples are included to illustrate potential applications of the new results.

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Published date: December 2006

Identifiers

Local EPrints ID: 65338
URI: https://eprints.soton.ac.uk/id/eprint/65338
ISSN: 0020-3270
PURE UUID: 00dbf18e-53d1-407b-af90-af9c1b872294

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Date deposited: 13 Feb 2009
Last modified: 13 Mar 2019 20:19

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