Frequency domain analysis for non-linear Volterra systems with a general non-linear output function

Xingjian Jing, Z. Q. Lang, S. A. Billings

Research output: Journal article publicationJournal articleAcademic researchpeer-review

21 Citations (Scopus)


For non-linear Volterra systems which include a non-linear state equation and a general non-linear output function, the system frequency response functions and some related frequency response characteristics are developed and discussed in this study. These new results establish the frequency response functions for this general form of non-linear systems by extending some existing theory, and provide an analytical insight into the relationship between model parameters and frequency response functions, and the relationship between model parameters and the magnitude bound of frequency response functions. Several examples are given to illustrate the new results.
Original languageEnglish
Pages (from-to)235-251
Number of pages17
JournalInternational Journal of Control
Issue number2
Publication statusPublished - 1 Feb 2008
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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