Describing functions, volterra series, and the analysis of non-linear systems in the frequency domain

International Journal of Control

Volumn 53, Issue 4, 1991, Pages 871-887

  Peyton Jones, J C ^a   Billings, S A ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES;

VOLTERRA SERIES;

CONTROL SYSTEMS, NONLINEAR;

EID: 0026138924     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179108953654     Document Type: Article

References (6)

1. Atherton, D. P., 1975, Nonlinear Control Engineering (London: Van Nostrand, Reinhold).
2. Billings, S. A., and Peyton Jones, J. C., 1990, Mapping non-linear inicgro-differential equations into the frequency domain. International Journal of Control, 52, 863-879.
3. Gelb, A., and Vander Velde, W. E., 1968, Multiple-Input Describing Functions and Nonlinear System Design (New York: McGraw-Hill).
4. Peyton Jones, J. C., and Billings, S. A., 1990, The interpretation of non-linear frequency response functions. International Journal of Control, 52, 319-346.
5. Volterra, V., 1959. Theory of Functionals and of Integral and Integrodifferential Equations (New York: Dover).
6. Wiener, D. D., and Spina, J. F., 1980, Sinusoidal Analysis and Modelling of Weakly Nonlinear Circuits (New York: Van Nostrand).