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The Parametric Characteristics of the GFRFs and the Parametric Characteristics Based Analysis

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Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

The parametric characteristic analysis discussed in Chapter 4 is used in this Chapter for the study of the parametric characteristics of the GFRFs of Volterra-type nonlinear systems described by the NDE model or NARX model. Fundamental and significant results have been established for the parametric characteristics of the GFRFs of the nonlinear systems. The method has been shown to be of great significance in understanding the system’s frequency response functions and the nonlinear influence incurred by different nonlinear terms. The parametric characteristics of the GFRFs can explicitly reveal the relationship between the time domain model parameters and the GFRFs and therefore provide a useful insight into the analysis and design of nonlinear systems in the frequency domain.

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Jing, X., Lang, Z. (2015). The Parametric Characteristics of the GFRFs and the Parametric Characteristics Based Analysis. In: Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-12391-2_5

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  • DOI: https://doi.org/10.1007/978-3-319-12391-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12390-5

  • Online ISBN: 978-3-319-12391-2

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