Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/25375
Title: Nonlinear influence in the frequency domain : alternating series
Authors: Jing, XJ 
Lang, ZQ
Billings, SA
Keywords: Alternating series
Nonlinear systems
Output spectrum
Volterra series
Issue Date: 2011
Publisher: Elsevier Science Bv
Source: Systems and control letters, 2011, v. 60, no. 5, p. 295-309 How to cite?
Journal: Systems and Control Letters 
Abstract: The nonlinear influence on system output spectrum is studied for a class of nonlinear systems which have Volterra series expansion. It is shown that under certain conditions the system output spectrum can be expressed in an alternating series with respect to some model parameters which define system nonlinearities. The magnitude of the system output spectrum can therefore be suppressed by exploiting the properties of alternating series. Sufficient (and necessary) conditions in which the output spectrum can be cast into an alternating series are studied. These results reveal a novel frequency-domain insight into the nonlinear influence on a system, and provide a new method for the analysis and design of nonlinear systems in the frequency domain. Examples are given to illustrate the results.
URI: http://hdl.handle.net/10397/25375
DOI: 10.1016/j.sysconle.2011.01.003
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