Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13503
Title: Truncation order and its effect in a class of nonlinear systems
Authors: Jing, X 
Keywords: Identification
Nonlinear analysis
Nonlinear output spectrum
Volterra series
Issue Date: 2012
Publisher: Pergamon Press
Source: Automatica, 2012, v. 48, no. 11, p. 2978-2985 How to cite?
Journal: Automatica 
Abstract: Fundamental results are established for truncation order and its effect in the Volterra class of nonlinear systems. These results provide a significant insight into the analytical relationships among truncation order, truncation error, and estimation error for the output spectra of nonlinear systems, and also lead to the development of novel methods for choosing the truncation order and excitation magnitudes for accurate determination of nonlinear frequency response components. These results should be important in the kernel estimation and frequency domain analysis of nonlinear systems on the basis of the Volterra series, structure and order selection of block-oriented nonlinear systems with polynomial nonlinearity. The results also provide a much improved version of the multi-level excitation method for system analysis and identification.
URI: http://hdl.handle.net/10397/13503
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2012.08.004
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